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Finding the Fourth Proportional to 604,505.40, 907,414.20 and 471,973.20

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Solution

The fourth proportional to 604,505.40, 907,414.20 and 471,973.20 is: 708,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,505.40 : 907,414.20 = 471,973.20 : x
  2. Step 2: Convert to fraction form
    604,505.40/907,414.20 = 471,973.20/x
  3. Step 3: Cross multiply
    604,505.40x = 907,414.20 × 471,973.20
  4. Step 4: Simplify right side
    604,505.40x = 428,275,183,699.44
  5. Step 5: Solve for x
    x = 428,275,183,699.44/604,505.40
  6. Step 6: Final answer
    x = 708,472.06

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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.