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Finding the Fourth Proportional to 278,298.14, 417,438.98 and 240,747.34

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Solution

The fourth proportional to 278,298.14, 417,438.98 and 240,747.34 is: 361,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,298.14 : 417,438.98 = 240,747.34 : x
  2. Step 2: Convert to fraction form
    278,298.14/417,438.98 = 240,747.34/x
  3. Step 3: Cross multiply
    278,298.14x = 417,438.98 × 240,747.34
  4. Step 4: Simplify right side
    278,298.14x = 100,497,324,047.31
  5. Step 5: Solve for x
    x = 100,497,324,047.31/278,298.14
  6. Step 6: Final answer
    x = 361,113.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.