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Finding the Fourth Proportional to 482,942.80, 724,511.40 and 167,334.40

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Solution

The fourth proportional to 482,942.80, 724,511.40 and 167,334.40 is: 251,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,942.80 : 724,511.40 = 167,334.40 : x
  2. Step 2: Convert to fraction form
    482,942.80/724,511.40 = 167,334.40/x
  3. Step 3: Cross multiply
    482,942.80x = 724,511.40 × 167,334.40
  4. Step 4: Simplify right side
    482,942.80x = 121,235,680,412.16
  5. Step 5: Solve for x
    x = 121,235,680,412.16/482,942.80
  6. Step 6: Final answer
    x = 251,035.28

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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.