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Finding the Fourth Proportional to 588,550, 812,286.48 and 346,755.28

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Solution

The fourth proportional to 588,550, 812,286.48 and 346,755.28 is: 478,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,550 : 812,286.48 = 346,755.28 : x
  2. Step 2: Convert to fraction form
    588,550/812,286.48 = 346,755.28/x
  3. Step 3: Cross multiply
    588,550x = 812,286.48 × 346,755.28
  4. Step 4: Simplify right side
    588,550x = 281,664,625,812.61
  5. Step 5: Solve for x
    x = 281,664,625,812.61/588,550
  6. Step 6: Final answer
    x = 478,573.83

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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.