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Finding the Fourth Proportional to 592,002.76, 816,947.22 and 323,725

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Solution

The fourth proportional to 592,002.76, 816,947.22 and 323,725 is: 446,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,002.76 : 816,947.22 = 323,725 : x
  2. Step 2: Convert to fraction form
    592,002.76/816,947.22 = 323,725/x
  3. Step 3: Cross multiply
    592,002.76x = 816,947.22 × 323,725
  4. Step 4: Simplify right side
    592,002.76x = 264,466,238,794.50
  5. Step 5: Solve for x
    x = 264,466,238,794.50/592,002.76
  6. Step 6: Final answer
    x = 446,731.43

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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.