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Finding the Fourth Proportional to 410,767.60, 615,114.60 and 269,762.80

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Solution

The fourth proportional to 410,767.60, 615,114.60 and 269,762.80 is: 403,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,767.60 : 615,114.60 = 269,762.80 : x
  2. Step 2: Convert to fraction form
    410,767.60/615,114.60 = 269,762.80/x
  3. Step 3: Cross multiply
    410,767.60x = 615,114.60 × 269,762.80
  4. Step 4: Simplify right side
    410,767.60x = 165,935,036,816.88
  5. Step 5: Solve for x
    x = 165,935,036,816.88/410,767.60
  6. Step 6: Final answer
    x = 403,963.30

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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.