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Finding the Fourth Proportional to 425,151.63, 586,682.28 and 234,165

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Solution

The fourth proportional to 425,151.63, 586,682.28 and 234,165 is: 323,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,151.63 : 586,682.28 = 234,165 : x
  2. Step 2: Convert to fraction form
    425,151.63/586,682.28 = 234,165/x
  3. Step 3: Cross multiply
    425,151.63x = 586,682.28 × 234,165
  4. Step 4: Simplify right side
    425,151.63x = 137,380,456,096.20
  5. Step 5: Solve for x
    x = 137,380,456,096.20/425,151.63
  6. Step 6: Final answer
    x = 323,132.85

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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.