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Finding the Fourth Proportional to 538,470.10, 807,705.15 and 433,494.10

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Solution

The fourth proportional to 538,470.10, 807,705.15 and 433,494.10 is: 650,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,470.10 : 807,705.15 = 433,494.10 : x
  2. Step 2: Convert to fraction form
    538,470.10/807,705.15 = 433,494.10/x
  3. Step 3: Cross multiply
    538,470.10x = 807,705.15 × 433,494.10
  4. Step 4: Simplify right side
    538,470.10x = 350,135,417,064.62
  5. Step 5: Solve for x
    x = 350,135,417,064.62/538,470.10
  6. Step 6: Final answer
    x = 650,241.15

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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.