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Finding the Fourth Proportional to 363,541.75, 544,831.48 and 278,978.76

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Solution

The fourth proportional to 363,541.75, 544,831.48 and 278,978.76 is: 418,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,541.75 : 544,831.48 = 278,978.76 : x
  2. Step 2: Convert to fraction form
    363,541.75/544,831.48 = 278,978.76/x
  3. Step 3: Cross multiply
    363,541.75x = 544,831.48 × 278,978.76
  4. Step 4: Simplify right side
    363,541.75x = 151,996,410,699.37
  5. Step 5: Solve for x
    x = 151,996,410,699.37/363,541.75
  6. Step 6: Final answer
    x = 418,098.91

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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.