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Finding the Fourth Proportional to 425,282.85, 586,916.82 and 234,296.19

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Solution

The fourth proportional to 425,282.85, 586,916.82 and 234,296.19 is: 323,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,282.85 : 586,916.82 = 234,296.19 : x
  2. Step 2: Convert to fraction form
    425,282.85/586,916.82 = 234,296.19/x
  3. Step 3: Cross multiply
    425,282.85x = 586,916.82 × 234,296.19
  4. Step 4: Simplify right side
    425,282.85x = 137,512,374,772.92
  5. Step 5: Solve for x
    x = 137,512,374,772.92/425,282.85
  6. Step 6: Final answer
    x = 323,343.33

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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.