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Finding the Fourth Proportional to 399,831.62, 599,451.14 and 242,022.74

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Solution

The fourth proportional to 399,831.62, 599,451.14 and 242,022.74 is: 362,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,831.62 : 599,451.14 = 242,022.74 : x
  2. Step 2: Convert to fraction form
    399,831.62/599,451.14 = 242,022.74/x
  3. Step 3: Cross multiply
    399,831.62x = 599,451.14 × 242,022.74
  4. Step 4: Simplify right side
    399,831.62x = 145,080,805,006.73
  5. Step 5: Solve for x
    x = 145,080,805,006.73/399,831.62
  6. Step 6: Final answer
    x = 362,854.76

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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.