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Finding the Fourth Proportional to 294,713.60, 441,778.80 and 144,831.20

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Solution

The fourth proportional to 294,713.60, 441,778.80 and 144,831.20 is: 217,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,713.60 : 441,778.80 = 144,831.20 : x
  2. Step 2: Convert to fraction form
    294,713.60/441,778.80 = 144,831.20/x
  3. Step 3: Cross multiply
    294,713.60x = 441,778.80 × 144,831.20
  4. Step 4: Simplify right side
    294,713.60x = 63,983,353,738.56
  5. Step 5: Solve for x
    x = 63,983,353,738.56/294,713.60
  6. Step 6: Final answer
    x = 217,103.50

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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.