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Finding the Fourth Proportional to 425,141, 586,721.20 and 234,154.34

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Solution

The fourth proportional to 425,141, 586,721.20 and 234,154.34 is: 323,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,141 : 586,721.20 = 234,154.34 : x
  2. Step 2: Convert to fraction form
    425,141/586,721.20 = 234,154.34/x
  3. Step 3: Cross multiply
    425,141x = 586,721.20 × 234,154.34
  4. Step 4: Simplify right side
    425,141x = 137,383,315,350.01
  5. Step 5: Solve for x
    x = 137,383,315,350.01/425,141
  6. Step 6: Final answer
    x = 323,147.65

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1.5x scale

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.