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Finding the Fourth Proportional to 493,267.80, 739,901.70 and 282,732.60

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Solution

The fourth proportional to 493,267.80, 739,901.70 and 282,732.60 is: 424,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,267.80 : 739,901.70 = 282,732.60 : x
  2. Step 2: Convert to fraction form
    493,267.80/739,901.70 = 282,732.60/x
  3. Step 3: Cross multiply
    493,267.80x = 739,901.70 × 282,732.60
  4. Step 4: Simplify right side
    493,267.80x = 209,194,331,385.42
  5. Step 5: Solve for x
    x = 209,194,331,385.42/493,267.80
  6. Step 6: Final answer
    x = 424,098.90

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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.