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Finding the Fourth Proportional to 499,084.20, 747,314.10 and 365,239.80

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Solution

The fourth proportional to 499,084.20, 747,314.10 and 365,239.80 is: 546,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,084.20 : 747,314.10 = 365,239.80 : x
  2. Step 2: Convert to fraction form
    499,084.20/747,314.10 = 365,239.80/x
  3. Step 3: Cross multiply
    499,084.20x = 747,314.10 × 365,239.80
  4. Step 4: Simplify right side
    499,084.20x = 272,948,852,421.18
  5. Step 5: Solve for x
    x = 272,948,852,421.18/499,084.20
  6. Step 6: Final answer
    x = 546,899.41

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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.