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Finding the Fourth Proportional to 410,266.80, 615,745.80 and 161,127.60

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Solution

The fourth proportional to 410,266.80, 615,745.80 and 161,127.60 is: 241,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,266.80 : 615,745.80 = 161,127.60 : x
  2. Step 2: Convert to fraction form
    410,266.80/615,745.80 = 161,127.60/x
  3. Step 3: Cross multiply
    410,266.80x = 615,745.80 × 161,127.60
  4. Step 4: Simplify right side
    410,266.80x = 99,213,642,964.08
  5. Step 5: Solve for x
    x = 99,213,642,964.08/410,266.80
  6. Step 6: Final answer
    x = 241,827.13

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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.