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Finding the Fourth Proportional to 410,233.80, 615,059.10 and 157,416.60

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Solution

The fourth proportional to 410,233.80, 615,059.10 and 157,416.60 is: 236,013.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,233.80 : 615,059.10 = 157,416.60 : x
  2. Step 2: Convert to fraction form
    410,233.80/615,059.10 = 157,416.60/x
  3. Step 3: Cross multiply
    410,233.80x = 615,059.10 × 157,416.60
  4. Step 4: Simplify right side
    410,233.80x = 96,820,512,321.06
  5. Step 5: Solve for x
    x = 96,820,512,321.06/410,233.80
  6. Step 6: Final answer
    x = 236,013.01

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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.