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Finding the Fourth Proportional to 472,306.12, 708,612.33 and 282,736.96

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Solution

The fourth proportional to 472,306.12, 708,612.33 and 282,736.96 is: 424,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,306.12 : 708,612.33 = 282,736.96 : x
  2. Step 2: Convert to fraction form
    472,306.12/708,612.33 = 282,736.96/x
  3. Step 3: Cross multiply
    472,306.12x = 708,612.33 × 282,736.96
  4. Step 4: Simplify right side
    472,306.12x = 200,350,892,459.66
  5. Step 5: Solve for x
    x = 200,350,892,459.66/472,306.12
  6. Step 6: Final answer
    x = 424,197.12

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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.