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Finding the Fourth Proportional to 278,047.24, 417,006.87 and 165,759.10

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Solution

The fourth proportional to 278,047.24, 417,006.87 and 165,759.10 is: 248,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,047.24 : 417,006.87 = 165,759.10 : x
  2. Step 2: Convert to fraction form
    278,047.24/417,006.87 = 165,759.10/x
  3. Step 3: Cross multiply
    278,047.24x = 417,006.87 × 165,759.10
  4. Step 4: Simplify right side
    278,047.24x = 69,122,683,465.02
  5. Step 5: Solve for x
    x = 69,122,683,465.02/278,047.24
  6. Step 6: Final answer
    x = 248,600.50

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Why These Related Problems?

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