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Finding the Fourth Proportional to 475,432.92, 656,091.90 and 257,637.24

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Solution

The fourth proportional to 475,432.92, 656,091.90 and 257,637.24 is: 355,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,432.92 : 656,091.90 = 257,637.24 : x
  2. Step 2: Convert to fraction form
    475,432.92/656,091.90 = 257,637.24/x
  3. Step 3: Cross multiply
    475,432.92x = 656,091.90 × 257,637.24
  4. Step 4: Simplify right side
    475,432.92x = 169,033,706,302.36
  5. Step 5: Solve for x
    x = 169,033,706,302.36/475,432.92
  6. Step 6: Final answer
    x = 355,536.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.