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Finding the Fourth Proportional to 498,678.67, 748,123.11 and 161,693.06

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Solution

The fourth proportional to 498,678.67, 748,123.11 and 161,693.06 is: 242,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,678.67 : 748,123.11 = 161,693.06 : x
  2. Step 2: Convert to fraction form
    498,678.67/748,123.11 = 161,693.06/x
  3. Step 3: Cross multiply
    498,678.67x = 748,123.11 × 161,693.06
  4. Step 4: Simplify right side
    498,678.67x = 120,966,310,363.54
  5. Step 5: Solve for x
    x = 120,966,310,363.54/498,678.67
  6. Step 6: Final answer
    x = 242,573.66

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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.