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Finding the Fourth Proportional to 299,209.08, 412,945.08 and 171,884.40

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Solution

The fourth proportional to 299,209.08, 412,945.08 and 171,884.40 is: 237,221.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,209.08 : 412,945.08 = 171,884.40 : x
  2. Step 2: Convert to fraction form
    299,209.08/412,945.08 = 171,884.40/x
  3. Step 3: Cross multiply
    299,209.08x = 412,945.08 × 171,884.40
  4. Step 4: Simplify right side
    299,209.08x = 70,978,817,308.75
  5. Step 5: Solve for x
    x = 70,978,817,308.75/299,209.08
  6. Step 6: Final answer
    x = 237,221.47

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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.