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Finding the Fourth Proportional to 502,267.32, 693,310.86 and 332,556.12

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Solution

The fourth proportional to 502,267.32, 693,310.86 and 332,556.12 is: 459,047.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,267.32 : 693,310.86 = 332,556.12 : x
  2. Step 2: Convert to fraction form
    502,267.32/693,310.86 = 332,556.12/x
  3. Step 3: Cross multiply
    502,267.32x = 693,310.86 × 332,556.12
  4. Step 4: Simplify right side
    502,267.32x = 230,564,769,555.46
  5. Step 5: Solve for x
    x = 230,564,769,555.46/502,267.32
  6. Step 6: Final answer
    x = 459,047.92

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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.