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Finding the Fourth Proportional to 410,151.40, 615,227.10 and 378,356.20

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Solution

The fourth proportional to 410,151.40, 615,227.10 and 378,356.20 is: 567,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,151.40 : 615,227.10 = 378,356.20 : x
  2. Step 2: Convert to fraction form
    410,151.40/615,227.10 = 378,356.20/x
  3. Step 3: Cross multiply
    410,151.40x = 615,227.10 × 378,356.20
  4. Step 4: Simplify right side
    410,151.40x = 232,774,987,693.02
  5. Step 5: Solve for x
    x = 232,774,987,693.02/410,151.40
  6. Step 6: Final answer
    x = 567,534.30

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1.5x scale

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.