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Finding the Fourth Proportional to 393,470.46, 542,921.54 and 221,364.50

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Solution

The fourth proportional to 393,470.46, 542,921.54 and 221,364.50 is: 305,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,470.46 : 542,921.54 = 221,364.50 : x
  2. Step 2: Convert to fraction form
    393,470.46/542,921.54 = 221,364.50/x
  3. Step 3: Cross multiply
    393,470.46x = 542,921.54 × 221,364.50
  4. Step 4: Simplify right side
    393,470.46x = 120,183,551,419.90
  5. Step 5: Solve for x
    x = 120,183,551,419.90/393,470.46
  6. Step 6: Final answer
    x = 305,444.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.