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Finding the Fourth Proportional to 410,304, 566,151.12 and 274,119.60

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Solution

The fourth proportional to 410,304, 566,151.12 and 274,119.60 is: 378,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,304 : 566,151.12 = 274,119.60 : x
  2. Step 2: Convert to fraction form
    410,304/566,151.12 = 274,119.60/x
  3. Step 3: Cross multiply
    410,304x = 566,151.12 × 274,119.60
  4. Step 4: Simplify right side
    410,304x = 155,193,118,553.95
  5. Step 5: Solve for x
    x = 155,193,118,553.95/410,304
  6. Step 6: Final answer
    x = 378,239.35

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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.