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Finding the Fourth Proportional to 416,247.38, 574,031.56 and 276,298.48

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Solution

The fourth proportional to 416,247.38, 574,031.56 and 276,298.48 is: 381,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,247.38 : 574,031.56 = 276,298.48 : x
  2. Step 2: Convert to fraction form
    416,247.38/574,031.56 = 276,298.48/x
  3. Step 3: Cross multiply
    416,247.38x = 574,031.56 × 276,298.48
  4. Step 4: Simplify right side
    416,247.38x = 158,604,043,248.38
  5. Step 5: Solve for x
    x = 158,604,043,248.38/416,247.38
  6. Step 6: Final answer
    x = 381,033.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.