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Finding the Fourth Proportional to 472,398.48, 707,934.60 and 258,616.80

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Solution

The fourth proportional to 472,398.48, 707,934.60 and 258,616.80 is: 387,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,398.48 : 707,934.60 = 258,616.80 : x
  2. Step 2: Convert to fraction form
    472,398.48/707,934.60 = 258,616.80/x
  3. Step 3: Cross multiply
    472,398.48x = 707,934.60 × 258,616.80
  4. Step 4: Simplify right side
    472,398.48x = 183,083,780,861.28
  5. Step 5: Solve for x
    x = 183,083,780,861.28/472,398.48
  6. Step 6: Final answer
    x = 387,562.17

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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.