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Finding the Fourth Proportional to 561,831.71, 842,772.17 and 162,512.84

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Solution

The fourth proportional to 561,831.71, 842,772.17 and 162,512.84 is: 243,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,831.71 : 842,772.17 = 162,512.84 : x
  2. Step 2: Convert to fraction form
    561,831.71/842,772.17 = 162,512.84/x
  3. Step 3: Cross multiply
    561,831.71x = 842,772.17 × 162,512.84
  4. Step 4: Simplify right side
    561,831.71x = 136,961,301,332.88
  5. Step 5: Solve for x
    x = 136,961,301,332.88/561,831.71
  6. Step 6: Final answer
    x = 243,776.38

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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.