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Finding the Fourth Proportional to 343,599.48, 515,447.82 and 106,966.08

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Solution

The fourth proportional to 343,599.48, 515,447.82 and 106,966.08 is: 160,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,599.48 : 515,447.82 = 106,966.08 : x
  2. Step 2: Convert to fraction form
    343,599.48/515,447.82 = 106,966.08/x
  3. Step 3: Cross multiply
    343,599.48x = 515,447.82 × 106,966.08
  4. Step 4: Simplify right side
    343,599.48x = 55,135,432,749.95
  5. Step 5: Solve for x
    x = 55,135,432,749.95/343,599.48
  6. Step 6: Final answer
    x = 160,464.25

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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.