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Finding the Fourth Proportional to 586,462.60, 809,320.98 and 331,863.40

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Solution

The fourth proportional to 586,462.60, 809,320.98 and 331,863.40 is: 457,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,462.60 : 809,320.98 = 331,863.40 : x
  2. Step 2: Convert to fraction form
    586,462.60/809,320.98 = 331,863.40/x
  3. Step 3: Cross multiply
    586,462.60x = 809,320.98 × 331,863.40
  4. Step 4: Simplify right side
    586,462.60x = 268,584,012,114.13
  5. Step 5: Solve for x
    x = 268,584,012,114.13/586,462.60
  6. Step 6: Final answer
    x = 457,972.96

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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.