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Finding the Fourth Proportional to 343,314.78, 514,871.37 and 132,902.46

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Solution

The fourth proportional to 343,314.78, 514,871.37 and 132,902.46 is: 199,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,314.78 : 514,871.37 = 132,902.46 : x
  2. Step 2: Convert to fraction form
    343,314.78/514,871.37 = 132,902.46/x
  3. Step 3: Cross multiply
    343,314.78x = 514,871.37 × 132,902.46
  4. Step 4: Simplify right side
    343,314.78x = 68,427,671,656.57
  5. Step 5: Solve for x
    x = 68,427,671,656.57/343,314.78
  6. Step 6: Final answer
    x = 199,314.67

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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.