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Finding the Fourth Proportional to 409,672.92, 565,028.13 and 266,478.69

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Solution

The fourth proportional to 409,672.92, 565,028.13 and 266,478.69 is: 367,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,672.92 : 565,028.13 = 266,478.69 : x
  2. Step 2: Convert to fraction form
    409,672.92/565,028.13 = 266,478.69/x
  3. Step 3: Cross multiply
    409,672.92x = 565,028.13 × 266,478.69
  4. Step 4: Simplify right side
    409,672.92x = 150,567,955,895.55
  5. Step 5: Solve for x
    x = 150,567,955,895.55/409,672.92
  6. Step 6: Final answer
    x = 367,532.12

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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.