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Finding the Fourth Proportional to 464,031.32, 696,061.38 and 220,819.12

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Solution

The fourth proportional to 464,031.32, 696,061.38 and 220,819.12 is: 331,235.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,031.32 : 696,061.38 = 220,819.12 : x
  2. Step 2: Convert to fraction form
    464,031.32/696,061.38 = 220,819.12/x
  3. Step 3: Cross multiply
    464,031.32x = 696,061.38 × 220,819.12
  4. Step 4: Simplify right side
    464,031.32x = 153,703,661,397.59
  5. Step 5: Solve for x
    x = 153,703,661,397.59/464,031.32
  6. Step 6: Final answer
    x = 331,235.53

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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.