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Finding the Fourth Proportional to 344,180.16, 516,296.16 and 94,860

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Solution

The fourth proportional to 344,180.16, 516,296.16 and 94,860 is: 142,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,180.16 : 516,296.16 = 94,860 : x
  2. Step 2: Convert to fraction form
    344,180.16/516,296.16 = 94,860/x
  3. Step 3: Cross multiply
    344,180.16x = 516,296.16 × 94,860
  4. Step 4: Simplify right side
    344,180.16x = 48,975,853,737.60
  5. Step 5: Solve for x
    x = 48,975,853,737.60/344,180.16
  6. Step 6: Final answer
    x = 142,297.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.