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Finding the Fourth Proportional to 343,594.28, 514,837.38 and 185,897

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Solution

The fourth proportional to 343,594.28, 514,837.38 and 185,897 is: 278,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,594.28 : 514,837.38 = 185,897 : x
  2. Step 2: Convert to fraction form
    343,594.28/514,837.38 = 185,897/x
  3. Step 3: Cross multiply
    343,594.28x = 514,837.38 × 185,897
  4. Step 4: Simplify right side
    343,594.28x = 95,706,724,429.86
  5. Step 5: Solve for x
    x = 95,706,724,429.86/343,594.28
  6. Step 6: Final answer
    x = 278,545.74

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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.