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Finding the Fourth Proportional to 278,320.88, 417,513 and 100,911.44

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Solution

The fourth proportional to 278,320.88, 417,513 and 100,911.44 is: 151,378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,320.88 : 417,513 = 100,911.44 : x
  2. Step 2: Convert to fraction form
    278,320.88/417,513 = 100,911.44/x
  3. Step 3: Cross multiply
    278,320.88x = 417,513 × 100,911.44
  4. Step 4: Simplify right side
    278,320.88x = 42,131,838,048.72
  5. Step 5: Solve for x
    x = 42,131,838,048.72/278,320.88
  6. Step 6: Final answer
    x = 151,378.65

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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.