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Finding the Fourth Proportional to 588,307.97, 811,595.36 and 346,474.78

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Solution

The fourth proportional to 588,307.97, 811,595.36 and 346,474.78 is: 477,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,307.97 : 811,595.36 = 346,474.78 : x
  2. Step 2: Convert to fraction form
    588,307.97/811,595.36 = 346,474.78/x
  3. Step 3: Cross multiply
    588,307.97x = 811,595.36 × 346,474.78
  4. Step 4: Simplify right side
    588,307.97x = 281,197,318,014.67
  5. Step 5: Solve for x
    x = 281,197,318,014.67/588,307.97
  6. Step 6: Final answer
    x = 477,976.39

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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.