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Finding the Fourth Proportional to 343,822.40, 515,863.20 and 166,486.40

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Solution

The fourth proportional to 343,822.40, 515,863.20 and 166,486.40 is: 249,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,822.40 : 515,863.20 = 166,486.40 : x
  2. Step 2: Convert to fraction form
    343,822.40/515,863.20 = 166,486.40/x
  3. Step 3: Cross multiply
    343,822.40x = 515,863.20 × 166,486.40
  4. Step 4: Simplify right side
    343,822.40x = 85,884,207,060.48
  5. Step 5: Solve for x
    x = 85,884,207,060.48/343,822.40
  6. Step 6: Final answer
    x = 249,792.36

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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.