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Finding the Fourth Proportional to 344,465.75, 516,419.80 and 107,686.55

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Solution

The fourth proportional to 344,465.75, 516,419.80 and 107,686.55 is: 161,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,465.75 : 516,419.80 = 107,686.55 : x
  2. Step 2: Convert to fraction form
    344,465.75/516,419.80 = 107,686.55/x
  3. Step 3: Cross multiply
    344,465.75x = 516,419.80 × 107,686.55
  4. Step 4: Simplify right side
    344,465.75x = 55,611,466,613.69
  5. Step 5: Solve for x
    x = 55,611,466,613.69/344,465.75
  6. Step 6: Final answer
    x = 161,442.66

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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.