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Finding the Fourth Proportional to 343,834.40, 515,881.20 and 166,498.40

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Solution

The fourth proportional to 343,834.40, 515,881.20 and 166,498.40 is: 249,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,834.40 : 515,881.20 = 166,498.40 : x
  2. Step 2: Convert to fraction form
    343,834.40/515,881.20 = 166,498.40/x
  3. Step 3: Cross multiply
    343,834.40x = 515,881.20 × 166,498.40
  4. Step 4: Simplify right side
    343,834.40x = 85,893,394,390.08
  5. Step 5: Solve for x
    x = 85,893,394,390.08/343,834.40
  6. Step 6: Final answer
    x = 249,810.36

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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.