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Finding the Fourth Proportional to 491,452.01, 677,943.65 and 338,224.18

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Solution

The fourth proportional to 491,452.01, 677,943.65 and 338,224.18 is: 466,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,452.01 : 677,943.65 = 338,224.18 : x
  2. Step 2: Convert to fraction form
    491,452.01/677,943.65 = 338,224.18/x
  3. Step 3: Cross multiply
    491,452.01x = 677,943.65 × 338,224.18
  4. Step 4: Simplify right side
    491,452.01x = 229,296,930,026.62
  5. Step 5: Solve for x
    x = 229,296,930,026.62/491,452.01
  6. Step 6: Final answer
    x = 466,570.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.