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Finding the Fourth Proportional to 659,312.20, 988,968.30 and 410,480.20

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Solution

The fourth proportional to 659,312.20, 988,968.30 and 410,480.20 is: 615,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,312.20 : 988,968.30 = 410,480.20 : x
  2. Step 2: Convert to fraction form
    659,312.20/988,968.30 = 410,480.20/x
  3. Step 3: Cross multiply
    659,312.20x = 988,968.30 × 410,480.20
  4. Step 4: Simplify right side
    659,312.20x = 405,951,905,577.66
  5. Step 5: Solve for x
    x = 405,951,905,577.66/659,312.20
  6. Step 6: Final answer
    x = 615,720.30

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.