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Finding the Fourth Proportional to 534,366, 801,898.92 and 201,942

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Solution

The fourth proportional to 534,366, 801,898.92 and 201,942 is: 303,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,366 : 801,898.92 = 201,942 : x
  2. Step 2: Convert to fraction form
    534,366/801,898.92 = 201,942/x
  3. Step 3: Cross multiply
    534,366x = 801,898.92 × 201,942
  4. Step 4: Simplify right side
    534,366x = 161,937,071,702.64
  5. Step 5: Solve for x
    x = 161,937,071,702.64/534,366
  6. Step 6: Final answer
    x = 303,045.24

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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.