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Finding the Fourth Proportional to 417,735.32, 626,615.13 and 102,192.13

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Solution

The fourth proportional to 417,735.32, 626,615.13 and 102,192.13 is: 153,291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,735.32 : 626,615.13 = 102,192.13 : x
  2. Step 2: Convert to fraction form
    417,735.32/626,615.13 = 102,192.13/x
  3. Step 3: Cross multiply
    417,735.32x = 626,615.13 × 102,192.13
  4. Step 4: Simplify right side
    417,735.32x = 64,035,131,691.85
  5. Step 5: Solve for x
    x = 64,035,131,691.85/417,735.32
  6. Step 6: Final answer
    x = 153,291.16

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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.