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Finding the Fourth Proportional to 343,592.28, 514,834.38 and 185,895

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Solution

The fourth proportional to 343,592.28, 514,834.38 and 185,895 is: 278,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,592.28 : 514,834.38 = 185,895 : x
  2. Step 2: Convert to fraction form
    343,592.28/514,834.38 = 185,895/x
  3. Step 3: Cross multiply
    343,592.28x = 514,834.38 × 185,895
  4. Step 4: Simplify right side
    343,592.28x = 95,705,137,070.10
  5. Step 5: Solve for x
    x = 95,705,137,070.10/343,592.28
  6. Step 6: Final answer
    x = 278,542.75

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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.