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Finding the Fourth Proportional to 411,201.40, 567,144.82 and 353,938.20

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Solution

The fourth proportional to 411,201.40, 567,144.82 and 353,938.20 is: 488,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,201.40 : 567,144.82 = 353,938.20 : x
  2. Step 2: Convert to fraction form
    411,201.40/567,144.82 = 353,938.20/x
  3. Step 3: Cross multiply
    411,201.40x = 567,144.82 × 353,938.20
  4. Step 4: Simplify right side
    411,201.40x = 200,734,216,730.12
  5. Step 5: Solve for x
    x = 200,734,216,730.12/411,201.40
  6. Step 6: Final answer
    x = 488,165.21

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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.