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Finding the Fourth Proportional to 498,193.65, 747,285.55 and 228,245.22

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Solution

The fourth proportional to 498,193.65, 747,285.55 and 228,245.22 is: 342,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,193.65 : 747,285.55 = 228,245.22 : x
  2. Step 2: Convert to fraction form
    498,193.65/747,285.55 = 228,245.22/x
  3. Step 3: Cross multiply
    498,193.65x = 747,285.55 × 228,245.22
  4. Step 4: Simplify right side
    498,193.65x = 170,564,350,689.06
  5. Step 5: Solve for x
    x = 170,564,350,689.06/498,193.65
  6. Step 6: Final answer
    x = 342,365.57

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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.