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Finding the Fourth Proportional to 604,254.30, 906,196.20 and 199,371.78

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Solution

The fourth proportional to 604,254.30, 906,196.20 and 199,371.78 is: 298,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,254.30 : 906,196.20 = 199,371.78 : x
  2. Step 2: Convert to fraction form
    604,254.30/906,196.20 = 199,371.78/x
  3. Step 3: Cross multiply
    604,254.30x = 906,196.20 × 199,371.78
  4. Step 4: Simplify right side
    604,254.30x = 180,669,949,423.24
  5. Step 5: Solve for x
    x = 180,669,949,423.24/604,254.30
  6. Step 6: Final answer
    x = 298,996.55

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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.