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Finding the Fourth Proportional to 498,096.27, 747,503.47 and 198,403.49

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Solution

The fourth proportional to 498,096.27, 747,503.47 and 198,403.49 is: 297,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,096.27 : 747,503.47 = 198,403.49 : x
  2. Step 2: Convert to fraction form
    498,096.27/747,503.47 = 198,403.49/x
  3. Step 3: Cross multiply
    498,096.27x = 747,503.47 × 198,403.49
  4. Step 4: Simplify right side
    498,096.27x = 148,307,299,351.87
  5. Step 5: Solve for x
    x = 148,307,299,351.87/498,096.27
  6. Step 6: Final answer
    x = 297,748.26

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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.