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Finding the Fourth Proportional to 260,828.40, 392,117.40 and 222,337.20

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Solution

The fourth proportional to 260,828.40, 392,117.40 and 222,337.20 is: 334,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,828.40 : 392,117.40 = 222,337.20 : x
  2. Step 2: Convert to fraction form
    260,828.40/392,117.40 = 222,337.20/x
  3. Step 3: Cross multiply
    260,828.40x = 392,117.40 × 222,337.20
  4. Step 4: Simplify right side
    260,828.40x = 87,182,284,787.28
  5. Step 5: Solve for x
    x = 87,182,284,787.28/260,828.40
  6. Step 6: Final answer
    x = 334,251.50

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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.