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Finding the Fourth Proportional to 534,772.60, 802,274.10 and 160,833.40

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Solution

The fourth proportional to 534,772.60, 802,274.10 and 160,833.40 is: 241,284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,772.60 : 802,274.10 = 160,833.40 : x
  2. Step 2: Convert to fraction form
    534,772.60/802,274.10 = 160,833.40/x
  3. Step 3: Cross multiply
    534,772.60x = 802,274.10 × 160,833.40
  4. Step 4: Simplify right side
    534,772.60x = 129,032,471,234.94
  5. Step 5: Solve for x
    x = 129,032,471,234.94/534,772.60
  6. Step 6: Final answer
    x = 241,284.75

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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.