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Finding the Fourth Proportional to 466,655.40, 699,983.10 and 151,144.20

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Solution

The fourth proportional to 466,655.40, 699,983.10 and 151,144.20 is: 226,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,655.40 : 699,983.10 = 151,144.20 : x
  2. Step 2: Convert to fraction form
    466,655.40/699,983.10 = 151,144.20/x
  3. Step 3: Cross multiply
    466,655.40x = 699,983.10 × 151,144.20
  4. Step 4: Simplify right side
    466,655.40x = 105,798,385,663.02
  5. Step 5: Solve for x
    x = 105,798,385,663.02/466,655.40
  6. Step 6: Final answer
    x = 226,716.30

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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.