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Finding the Fourth Proportional to 410,231.80, 615,056.10 and 157,414.60

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Solution

The fourth proportional to 410,231.80, 615,056.10 and 157,414.60 is: 236,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,231.80 : 615,056.10 = 157,414.60 : x
  2. Step 2: Convert to fraction form
    410,231.80/615,056.10 = 157,414.60/x
  3. Step 3: Cross multiply
    410,231.80x = 615,056.10 × 157,414.60
  4. Step 4: Simplify right side
    410,231.80x = 96,818,809,959.06
  5. Step 5: Solve for x
    x = 96,818,809,959.06/410,231.80
  6. Step 6: Final answer
    x = 236,010.01

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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.