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Finding the Fourth Proportional to 425,193.46, 586,767 and 234,206.85

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Solution

The fourth proportional to 425,193.46, 586,767 and 234,206.85 is: 323,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,193.46 : 586,767 = 234,206.85 : x
  2. Step 2: Convert to fraction form
    425,193.46/586,767 = 234,206.85/x
  3. Step 3: Cross multiply
    425,193.46x = 586,767 × 234,206.85
  4. Step 4: Simplify right side
    425,193.46x = 137,424,850,753.95
  5. Step 5: Solve for x
    x = 137,424,850,753.95/425,193.46
  6. Step 6: Final answer
    x = 323,205.47

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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.