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Finding the Fourth Proportional to 319,347.56, 440,706.02 and 206,367.14

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Solution

The fourth proportional to 319,347.56, 440,706.02 and 206,367.14 is: 284,790.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,347.56 : 440,706.02 = 206,367.14 : x
  2. Step 2: Convert to fraction form
    319,347.56/440,706.02 = 206,367.14/x
  3. Step 3: Cross multiply
    319,347.56x = 440,706.02 × 206,367.14
  4. Step 4: Simplify right side
    319,347.56x = 90,947,240,998.11
  5. Step 5: Solve for x
    x = 90,947,240,998.11/319,347.56
  6. Step 6: Final answer
    x = 284,790.78

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1.5x scale

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.