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Finding the Fourth Proportional to 299,800.22, 413,729.40 and 178,918.04

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Solution

The fourth proportional to 299,800.22, 413,729.40 and 178,918.04 is: 246,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,800.22 : 413,729.40 = 178,918.04 : x
  2. Step 2: Convert to fraction form
    299,800.22/413,729.40 = 178,918.04/x
  3. Step 3: Cross multiply
    299,800.22x = 413,729.40 × 178,918.04
  4. Step 4: Simplify right side
    299,800.22x = 74,023,653,338.38
  5. Step 5: Solve for x
    x = 74,023,653,338.38/299,800.22
  6. Step 6: Final answer
    x = 246,909.94

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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.