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Finding the Fourth Proportional to 278,373.96, 417,545.82 and 171,778.23

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Solution

The fourth proportional to 278,373.96, 417,545.82 and 171,778.23 is: 257,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,373.96 : 417,545.82 = 171,778.23 : x
  2. Step 2: Convert to fraction form
    278,373.96/417,545.82 = 171,778.23/x
  3. Step 3: Cross multiply
    278,373.96x = 417,545.82 × 171,778.23
  4. Step 4: Simplify right side
    278,373.96x = 71,725,281,903.50
  5. Step 5: Solve for x
    x = 71,725,281,903.50/278,373.96
  6. Step 6: Final answer
    x = 257,658.01

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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.