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Finding the Fourth Proportional to 410,297.40, 615,008.70 and 157,480.20

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Solution

The fourth proportional to 410,297.40, 615,008.70 and 157,480.20 is: 236,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,297.40 : 615,008.70 = 157,480.20 : x
  2. Step 2: Convert to fraction form
    410,297.40/615,008.70 = 157,480.20/x
  3. Step 3: Cross multiply
    410,297.40x = 615,008.70 × 157,480.20
  4. Step 4: Simplify right side
    410,297.40x = 96,851,693,077.74
  5. Step 5: Solve for x
    x = 96,851,693,077.74/410,297.40
  6. Step 6: Final answer
    x = 236,052.42

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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.