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Finding the Fourth Proportional to 410,287.67, 565,750.64 and 266,781.59

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Solution

The fourth proportional to 410,287.67, 565,750.64 and 266,781.59 is: 367,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,287.67 : 565,750.64 = 266,781.59 : x
  2. Step 2: Convert to fraction form
    410,287.67/565,750.64 = 266,781.59/x
  3. Step 3: Cross multiply
    410,287.67x = 565,750.64 × 266,781.59
  4. Step 4: Simplify right side
    410,287.67x = 150,931,855,282.72
  5. Step 5: Solve for x
    x = 150,931,855,282.72/410,287.67
  6. Step 6: Final answer
    x = 367,868.37

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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.