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Finding the Fourth Proportional to 343,598.28, 514,843.38 and 185,901

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Solution

The fourth proportional to 343,598.28, 514,843.38 and 185,901 is: 278,551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,598.28 : 514,843.38 = 185,901 : x
  2. Step 2: Convert to fraction form
    343,598.28/514,843.38 = 185,901/x
  3. Step 3: Cross multiply
    343,598.28x = 514,843.38 × 185,901
  4. Step 4: Simplify right side
    343,598.28x = 95,709,899,185.38
  5. Step 5: Solve for x
    x = 95,709,899,185.38/343,598.28
  6. Step 6: Final answer
    x = 278,551.74

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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.