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Finding the Fourth Proportional to 537,875.20, 806,841.96 and 201,004.30

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Solution

The fourth proportional to 537,875.20, 806,841.96 and 201,004.30 is: 301,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,875.20 : 806,841.96 = 201,004.30 : x
  2. Step 2: Convert to fraction form
    537,875.20/806,841.96 = 201,004.30/x
  3. Step 3: Cross multiply
    537,875.20x = 806,841.96 × 201,004.30
  4. Step 4: Simplify right side
    537,875.20x = 162,178,703,380.43
  5. Step 5: Solve for x
    x = 162,178,703,380.43/537,875.20
  6. Step 6: Final answer
    x = 301,517.35

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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.