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Finding the Fourth Proportional to 280,016.83, 418,239.97 and 253,321.66

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Solution

The fourth proportional to 280,016.83, 418,239.97 and 253,321.66 is: 378,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,016.83 : 418,239.97 = 253,321.66 : x
  2. Step 2: Convert to fraction form
    280,016.83/418,239.97 = 253,321.66/x
  3. Step 3: Cross multiply
    280,016.83x = 418,239.97 × 253,321.66
  4. Step 4: Simplify right side
    280,016.83x = 105,949,243,478.75
  5. Step 5: Solve for x
    x = 105,949,243,478.75/280,016.83
  6. Step 6: Final answer
    x = 378,367.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.