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Finding the Fourth Proportional to 407,714.90, 611,572.35 and 403,778.30

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Solution

The fourth proportional to 407,714.90, 611,572.35 and 403,778.30 is: 605,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.90 : 611,572.35 = 403,778.30 : x
  2. Step 2: Convert to fraction form
    407,714.90/611,572.35 = 403,778.30/x
  3. Step 3: Cross multiply
    407,714.90x = 611,572.35 × 403,778.30
  4. Step 4: Simplify right side
    407,714.90x = 246,939,643,810.01
  5. Step 5: Solve for x
    x = 246,939,643,810.01/407,714.90
  6. Step 6: Final answer
    x = 605,667.45

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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.