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Finding the Fourth Proportional to 425,138, 586,717.06 and 234,151.34

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Solution

The fourth proportional to 425,138, 586,717.06 and 234,151.34 is: 323,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,138 : 586,717.06 = 234,151.34 : x
  2. Step 2: Convert to fraction form
    425,138/586,717.06 = 234,151.34/x
  3. Step 3: Cross multiply
    425,138x = 586,717.06 × 234,151.34
  4. Step 4: Simplify right side
    425,138x = 137,380,585,799.86
  5. Step 5: Solve for x
    x = 137,380,585,799.86/425,138
  6. Step 6: Final answer
    x = 323,143.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.