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Finding the Fourth Proportional to 537,924.80, 806,887.20 and 163,947.20

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Solution

The fourth proportional to 537,924.80, 806,887.20 and 163,947.20 is: 245,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,924.80 : 806,887.20 = 163,947.20 : x
  2. Step 2: Convert to fraction form
    537,924.80/806,887.20 = 163,947.20/x
  3. Step 3: Cross multiply
    537,924.80x = 806,887.20 × 163,947.20
  4. Step 4: Simplify right side
    537,924.80x = 132,286,897,155.84
  5. Step 5: Solve for x
    x = 132,286,897,155.84/537,924.80
  6. Step 6: Final answer
    x = 245,920.80

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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.