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Finding the Fourth Proportional to 492,079.60, 737,082.60 and 409,135.60

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Solution

The fourth proportional to 492,079.60, 737,082.60 and 409,135.60 is: 612,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,079.60 : 737,082.60 = 409,135.60 : x
  2. Step 2: Convert to fraction form
    492,079.60/737,082.60 = 409,135.60/x
  3. Step 3: Cross multiply
    492,079.60x = 737,082.60 × 409,135.60
  4. Step 4: Simplify right side
    492,079.60x = 301,566,731,800.56
  5. Step 5: Solve for x
    x = 301,566,731,800.56/492,079.60
  6. Step 6: Final answer
    x = 612,841.36

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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.