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Finding the Fourth Proportional to 466,055.40, 699,083.10 and 185,428.20

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Solution

The fourth proportional to 466,055.40, 699,083.10 and 185,428.20 is: 278,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,055.40 : 699,083.10 = 185,428.20 : x
  2. Step 2: Convert to fraction form
    466,055.40/699,083.10 = 185,428.20/x
  3. Step 3: Cross multiply
    466,055.40x = 699,083.10 × 185,428.20
  4. Step 4: Simplify right side
    466,055.40x = 129,629,720,883.42
  5. Step 5: Solve for x
    x = 129,629,720,883.42/466,055.40
  6. Step 6: Final answer
    x = 278,142.30

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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.