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Finding the Fourth Proportional to 472,307.12, 708,613.83 and 282,737.96

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Solution

The fourth proportional to 472,307.12, 708,613.83 and 282,737.96 is: 424,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,307.12 : 708,613.83 = 282,737.96 : x
  2. Step 2: Convert to fraction form
    472,307.12/708,613.83 = 282,737.96/x
  3. Step 3: Cross multiply
    472,307.12x = 708,613.83 × 282,737.96
  4. Step 4: Simplify right side
    472,307.12x = 200,352,028,721.99
  5. Step 5: Solve for x
    x = 200,352,028,721.99/472,307.12
  6. Step 6: Final answer
    x = 424,198.62

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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.