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Finding the Fourth Proportional to 588,689.25, 812,503.13 and 334,064.13

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Solution

The fourth proportional to 588,689.25, 812,503.13 and 334,064.13 is: 461,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,689.25 : 812,503.13 = 334,064.13 : x
  2. Step 2: Convert to fraction form
    588,689.25/812,503.13 = 334,064.13/x
  3. Step 3: Cross multiply
    588,689.25x = 812,503.13 × 334,064.13
  4. Step 4: Simplify right side
    588,689.25x = 271,428,151,245.73
  5. Step 5: Solve for x
    x = 271,428,151,245.73/588,689.25
  6. Step 6: Final answer
    x = 461,072.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.