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Finding the Fourth Proportional to 515,496.08, 709,767.92 and 468,256.88

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Solution

The fourth proportional to 515,496.08, 709,767.92 and 468,256.88 is: 644,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,496.08 : 709,767.92 = 468,256.88 : x
  2. Step 2: Convert to fraction form
    515,496.08/709,767.92 = 468,256.88/x
  3. Step 3: Cross multiply
    515,496.08x = 709,767.92 × 468,256.88
  4. Step 4: Simplify right side
    515,496.08x = 332,353,711,743.29
  5. Step 5: Solve for x
    x = 332,353,711,743.29/515,496.08
  6. Step 6: Final answer
    x = 644,725.97

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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.