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Finding the Fourth Proportional to 301,781.06, 416,494.07 and 180,988.80

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Solution

The fourth proportional to 301,781.06, 416,494.07 and 180,988.80 is: 249,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,781.06 : 416,494.07 = 180,988.80 : x
  2. Step 2: Convert to fraction form
    301,781.06/416,494.07 = 180,988.80/x
  3. Step 3: Cross multiply
    301,781.06x = 416,494.07 × 180,988.80
  4. Step 4: Simplify right side
    301,781.06x = 75,380,761,936.42
  5. Step 5: Solve for x
    x = 75,380,761,936.42/301,781.06
  6. Step 6: Final answer
    x = 249,786.26

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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.