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Finding the Fourth Proportional to 588,691.44, 883,297.17 and 456,718.14

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Solution

The fourth proportional to 588,691.44, 883,297.17 and 456,718.14 is: 685,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,691.44 : 883,297.17 = 456,718.14 : x
  2. Step 2: Convert to fraction form
    588,691.44/883,297.17 = 456,718.14/x
  3. Step 3: Cross multiply
    588,691.44x = 883,297.17 × 456,718.14
  4. Step 4: Simplify right side
    588,691.44x = 403,417,840,549.66
  5. Step 5: Solve for x
    x = 403,417,840,549.66/588,691.44
  6. Step 6: Final answer
    x = 685,278.93

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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.