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Finding the Fourth Proportional to 498,273.13, 747,409.69 and 161,595.41

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Solution

The fourth proportional to 498,273.13, 747,409.69 and 161,595.41 is: 242,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,273.13 : 747,409.69 = 161,595.41 : x
  2. Step 2: Convert to fraction form
    498,273.13/747,409.69 = 161,595.41/x
  3. Step 3: Cross multiply
    498,273.13x = 747,409.69 × 161,595.41
  4. Step 4: Simplify right side
    498,273.13x = 120,777,975,293.52
  5. Step 5: Solve for x
    x = 120,777,975,293.52/498,273.13
  6. Step 6: Final answer
    x = 242,393.12

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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.