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Finding the Fourth Proportional to 278,229.50, 417,398.37 and 118,303.60

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Solution

The fourth proportional to 278,229.50, 417,398.37 and 118,303.60 is: 177,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,229.50 : 417,398.37 = 118,303.60 : x
  2. Step 2: Convert to fraction form
    278,229.50/417,398.37 = 118,303.60/x
  3. Step 3: Cross multiply
    278,229.50x = 417,398.37 × 118,303.60
  4. Step 4: Simplify right side
    278,229.50x = 49,379,727,126.62
  5. Step 5: Solve for x
    x = 49,379,727,126.62/278,229.50
  6. Step 6: Final answer
    x = 177,478.40

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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.