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Finding the Fourth Proportional to 410,570.20, 615,727.30 and 161,328.60

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Solution

The fourth proportional to 410,570.20, 615,727.30 and 161,328.60 is: 241,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,570.20 : 615,727.30 = 161,328.60 : x
  2. Step 2: Convert to fraction form
    410,570.20/615,727.30 = 161,328.60/x
  3. Step 3: Cross multiply
    410,570.20x = 615,727.30 × 161,328.60
  4. Step 4: Simplify right side
    410,570.20x = 99,334,423,290.78
  5. Step 5: Solve for x
    x = 99,334,423,290.78/410,570.20
  6. Step 6: Final answer
    x = 241,942.60

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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.