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Finding the Fourth Proportional to 588,644.35, 812,231.48 and 346,894.11

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Solution

The fourth proportional to 588,644.35, 812,231.48 and 346,894.11 is: 478,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,644.35 : 812,231.48 = 346,894.11 : x
  2. Step 2: Convert to fraction form
    588,644.35/812,231.48 = 346,894.11/x
  3. Step 3: Cross multiply
    588,644.35x = 812,231.48 × 346,894.11
  4. Step 4: Simplify right side
    588,644.35x = 281,758,317,235.82
  5. Step 5: Solve for x
    x = 281,758,317,235.82/588,644.35
  6. Step 6: Final answer
    x = 478,656.29

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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.