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Finding the Fourth Proportional to 464,553.20, 696,829.80 and 413,814.80

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Solution

The fourth proportional to 464,553.20, 696,829.80 and 413,814.80 is: 620,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,553.20 : 696,829.80 = 413,814.80 : x
  2. Step 2: Convert to fraction form
    464,553.20/696,829.80 = 413,814.80/x
  3. Step 3: Cross multiply
    464,553.20x = 696,829.80 × 413,814.80
  4. Step 4: Simplify right side
    464,553.20x = 288,358,484,321.04
  5. Step 5: Solve for x
    x = 288,358,484,321.04/464,553.20
  6. Step 6: Final answer
    x = 620,722.20

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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.