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Finding the Fourth Proportional to 299,366.66, 413,126.02 and 204,039.90

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Solution

The fourth proportional to 299,366.66, 413,126.02 and 204,039.90 is: 281,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,366.66 : 413,126.02 = 204,039.90 : x
  2. Step 2: Convert to fraction form
    299,366.66/413,126.02 = 204,039.90/x
  3. Step 3: Cross multiply
    299,366.66x = 413,126.02 × 204,039.90
  4. Step 4: Simplify right side
    299,366.66x = 84,294,191,808.20
  5. Step 5: Solve for x
    x = 84,294,191,808.20/299,366.66
  6. Step 6: Final answer
    x = 281,575.08

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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.