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Finding the Fourth Proportional to 410,853.44, 567,256.56 and 266,008.16

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Solution

The fourth proportional to 410,853.44, 567,256.56 and 266,008.16 is: 367,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,853.44 : 567,256.56 = 266,008.16 : x
  2. Step 2: Convert to fraction form
    410,853.44/567,256.56 = 266,008.16/x
  3. Step 3: Cross multiply
    410,853.44x = 567,256.56 × 266,008.16
  4. Step 4: Simplify right side
    410,853.44x = 150,894,873,773.53
  5. Step 5: Solve for x
    x = 150,894,873,773.53/410,853.44
  6. Step 6: Final answer
    x = 367,271.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.