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Finding the Fourth Proportional to 561,886.88, 842,831.12 and 229,462.88

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Solution

The fourth proportional to 561,886.88, 842,831.12 and 229,462.88 is: 344,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,886.88 : 842,831.12 = 229,462.88 : x
  2. Step 2: Convert to fraction form
    561,886.88/842,831.12 = 229,462.88/x
  3. Step 3: Cross multiply
    561,886.88x = 842,831.12 × 229,462.88
  4. Step 4: Simplify right side
    561,886.88x = 193,398,452,508.33
  5. Step 5: Solve for x
    x = 193,398,452,508.33/561,886.88
  6. Step 6: Final answer
    x = 344,194.64

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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.