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Finding the Fourth Proportional to 298,209.01, 411,371.59 and 177,264.27

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Solution

The fourth proportional to 298,209.01, 411,371.59 and 177,264.27 is: 244,531.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209.01 : 411,371.59 = 177,264.27 : x
  2. Step 2: Convert to fraction form
    298,209.01/411,371.59 = 177,264.27/x
  3. Step 3: Cross multiply
    298,209.01x = 411,371.59 × 177,264.27
  4. Step 4: Simplify right side
    298,209.01x = 72,921,484,600.09
  5. Step 5: Solve for x
    x = 72,921,484,600.09/298,209.01
  6. Step 6: Final answer
    x = 244,531.46

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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.