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Finding the Fourth Proportional to 343,856.40, 515,930.40 and 217,593.60

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Solution

The fourth proportional to 343,856.40, 515,930.40 and 217,593.60 is: 326,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,856.40 : 515,930.40 = 217,593.60 : x
  2. Step 2: Convert to fraction form
    343,856.40/515,930.40 = 217,593.60/x
  3. Step 3: Cross multiply
    343,856.40x = 515,930.40 × 217,593.60
  4. Step 4: Simplify right side
    343,856.40x = 112,263,153,085.44
  5. Step 5: Solve for x
    x = 112,263,153,085.44/343,856.40
  6. Step 6: Final answer
    x = 326,482.66

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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.