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Finding the Fourth Proportional to 305,065.20, 457,684.20 and 94,724.40

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Solution

The fourth proportional to 305,065.20, 457,684.20 and 94,724.40 is: 142,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,065.20 : 457,684.20 = 94,724.40 : x
  2. Step 2: Convert to fraction form
    305,065.20/457,684.20 = 94,724.40/x
  3. Step 3: Cross multiply
    305,065.20x = 457,684.20 × 94,724.40
  4. Step 4: Simplify right side
    305,065.20x = 43,353,861,234.48
  5. Step 5: Solve for x
    x = 43,353,861,234.48/305,065.20
  6. Step 6: Final answer
    x = 142,113.43

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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.