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Finding the Fourth Proportional to 402,834.60, 555,868.17 and 233,037

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Solution

The fourth proportional to 402,834.60, 555,868.17 and 233,037 is: 321,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,834.60 : 555,868.17 = 233,037 : x
  2. Step 2: Convert to fraction form
    402,834.60/555,868.17 = 233,037/x
  3. Step 3: Cross multiply
    402,834.60x = 555,868.17 × 233,037
  4. Step 4: Simplify right side
    402,834.60x = 129,537,850,732.29
  5. Step 5: Solve for x
    x = 129,537,850,732.29/402,834.60
  6. Step 6: Final answer
    x = 321,565.85

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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.