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Finding the Fourth Proportional to 402,425.10, 603,637.53 and 102,906.30

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Solution

The fourth proportional to 402,425.10, 603,637.53 and 102,906.30 is: 154,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,425.10 : 603,637.53 = 102,906.30 : x
  2. Step 2: Convert to fraction form
    402,425.10/603,637.53 = 102,906.30/x
  3. Step 3: Cross multiply
    402,425.10x = 603,637.53 × 102,906.30
  4. Step 4: Simplify right side
    402,425.10x = 62,118,104,753.44
  5. Step 5: Solve for x
    x = 62,118,104,753.44/402,425.10
  6. Step 6: Final answer
    x = 154,359.42

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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.