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Finding the Fourth Proportional to 524,042.40, 784,249.20 and 313,831.20

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Solution

The fourth proportional to 524,042.40, 784,249.20 and 313,831.20 is: 469,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,042.40 : 784,249.20 = 313,831.20 : x
  2. Step 2: Convert to fraction form
    524,042.40/784,249.20 = 313,831.20/x
  3. Step 3: Cross multiply
    524,042.40x = 784,249.20 × 313,831.20
  4. Step 4: Simplify right side
    524,042.40x = 246,121,867,535.04
  5. Step 5: Solve for x
    x = 246,121,867,535.04/524,042.40
  6. Step 6: Final answer
    x = 469,660.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.