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Finding the Fourth Proportional to 343,859.40, 515,789.10 and 314,310.60

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Solution

The fourth proportional to 343,859.40, 515,789.10 and 314,310.60 is: 471,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,859.40 : 515,789.10 = 314,310.60 : x
  2. Step 2: Convert to fraction form
    343,859.40/515,789.10 = 314,310.60/x
  3. Step 3: Cross multiply
    343,859.40x = 515,789.10 × 314,310.60
  4. Step 4: Simplify right side
    343,859.40x = 162,117,981,494.46
  5. Step 5: Solve for x
    x = 162,117,981,494.46/343,859.40
  6. Step 6: Final answer
    x = 471,465.90

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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.