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Finding the Fourth Proportional to 274,019.10, 411,028.65 and 253,023.90

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Solution

The fourth proportional to 274,019.10, 411,028.65 and 253,023.90 is: 379,535.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,019.10 : 411,028.65 = 253,023.90 : x
  2. Step 2: Convert to fraction form
    274,019.10/411,028.65 = 253,023.90/x
  3. Step 3: Cross multiply
    274,019.10x = 411,028.65 × 253,023.90
  4. Step 4: Simplify right side
    274,019.10x = 104,000,072,034.74
  5. Step 5: Solve for x
    x = 104,000,072,034.74/274,019.10
  6. Step 6: Final answer
    x = 379,535.85

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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.