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Finding the Fourth Proportional to 499,140.90, 748,820.70 and 199,546.20

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Solution

The fourth proportional to 499,140.90, 748,820.70 and 199,546.20 is: 299,363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,140.90 : 748,820.70 = 199,546.20 : x
  2. Step 2: Convert to fraction form
    499,140.90/748,820.70 = 199,546.20/x
  3. Step 3: Cross multiply
    499,140.90x = 748,820.70 × 199,546.20
  4. Step 4: Simplify right side
    499,140.90x = 149,424,325,166.34
  5. Step 5: Solve for x
    x = 149,424,325,166.34/499,140.90
  6. Step 6: Final answer
    x = 299,363.02

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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.