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Finding the Fourth Proportional to 304,470.80, 457,116.60 and 178,240.40

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Solution

The fourth proportional to 304,470.80, 457,116.60 and 178,240.40 is: 267,600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,470.80 : 457,116.60 = 178,240.40 : x
  2. Step 2: Convert to fraction form
    304,470.80/457,116.60 = 178,240.40/x
  3. Step 3: Cross multiply
    304,470.80x = 457,116.60 × 178,240.40
  4. Step 4: Simplify right side
    304,470.80x = 81,476,645,630.64
  5. Step 5: Solve for x
    x = 81,476,645,630.64/304,470.80
  6. Step 6: Final answer
    x = 267,600.85

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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.