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Finding the Fourth Proportional to 488,677.92, 733,823.04 and 329,774.76

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Solution

The fourth proportional to 488,677.92, 733,823.04 and 329,774.76 is: 495,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,677.92 : 733,823.04 = 329,774.76 : x
  2. Step 2: Convert to fraction form
    488,677.92/733,823.04 = 329,774.76/x
  3. Step 3: Cross multiply
    488,677.92x = 733,823.04 × 329,774.76
  4. Step 4: Simplify right side
    488,677.92x = 241,996,316,898.47
  5. Step 5: Solve for x
    x = 241,996,316,898.47/488,677.92
  6. Step 6: Final answer
    x = 495,206.16

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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.