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Finding the Fourth Proportional to 684,408.52, 944,335.38 and 382,592.20

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Solution

The fourth proportional to 684,408.52, 944,335.38 and 382,592.20 is: 527,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,408.52 : 944,335.38 = 382,592.20 : x
  2. Step 2: Convert to fraction form
    684,408.52/944,335.38 = 382,592.20/x
  3. Step 3: Cross multiply
    684,408.52x = 944,335.38 × 382,592.20
  4. Step 4: Simplify right side
    684,408.52x = 361,295,350,572.04
  5. Step 5: Solve for x
    x = 361,295,350,572.04/684,408.52
  6. Step 6: Final answer
    x = 527,894.29

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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.