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Finding the Fourth Proportional to 482,829.80, 724,341.90 and 167,221.40

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Solution

The fourth proportional to 482,829.80, 724,341.90 and 167,221.40 is: 250,865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,829.80 : 724,341.90 = 167,221.40 : x
  2. Step 2: Convert to fraction form
    482,829.80/724,341.90 = 167,221.40/x
  3. Step 3: Cross multiply
    482,829.80x = 724,341.90 × 167,221.40
  4. Step 4: Simplify right side
    482,829.80x = 121,125,466,596.66
  5. Step 5: Solve for x
    x = 121,125,466,596.66/482,829.80
  6. Step 6: Final answer
    x = 250,865.76

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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.