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Finding the Fourth Proportional to 416,248.38, 574,032.93 and 276,299.48

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Solution

The fourth proportional to 416,248.38, 574,032.93 and 276,299.48 is: 381,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,248.38 : 574,032.93 = 276,299.48 : x
  2. Step 2: Convert to fraction form
    416,248.38/574,032.93 = 276,299.48/x
  3. Step 3: Cross multiply
    416,248.38x = 574,032.93 × 276,299.48
  4. Step 4: Simplify right side
    416,248.38x = 158,605,000,061.88
  5. Step 5: Solve for x
    x = 158,605,000,061.88/416,248.38
  6. Step 6: Final answer
    x = 381,034.52

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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.