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Finding the Fourth Proportional to 514,098.88, 709,449.12 and 284,634.16

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Solution

The fourth proportional to 514,098.88, 709,449.12 and 284,634.16 is: 392,791.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,098.88 : 709,449.12 = 284,634.16 : x
  2. Step 2: Convert to fraction form
    514,098.88/709,449.12 = 284,634.16/x
  3. Step 3: Cross multiply
    514,098.88x = 709,449.12 × 284,634.16
  4. Step 4: Simplify right side
    514,098.88x = 201,933,454,333.94
  5. Step 5: Solve for x
    x = 201,933,454,333.94/514,098.88
  6. Step 6: Final answer
    x = 392,791.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.