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Finding the Fourth Proportional to 588,644.85, 812,232.17 and 346,894.61

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Solution

The fourth proportional to 588,644.85, 812,232.17 and 346,894.61 is: 478,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,644.85 : 812,232.17 = 346,894.61 : x
  2. Step 2: Convert to fraction form
    588,644.85/812,232.17 = 346,894.61/x
  3. Step 3: Cross multiply
    588,644.85x = 812,232.17 × 346,894.61
  4. Step 4: Simplify right side
    588,644.85x = 281,758,961,841.60
  5. Step 5: Solve for x
    x = 281,758,961,841.60/588,644.85
  6. Step 6: Final answer
    x = 478,656.97

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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.