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Finding the Fourth Proportional to 341,209.60, 512,203.20 and 201,047.20

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Solution

The fourth proportional to 341,209.60, 512,203.20 and 201,047.20 is: 301,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,209.60 : 512,203.20 = 201,047.20 : x
  2. Step 2: Convert to fraction form
    341,209.60/512,203.20 = 201,047.20/x
  3. Step 3: Cross multiply
    341,209.60x = 512,203.20 × 201,047.20
  4. Step 4: Simplify right side
    341,209.60x = 102,977,019,191.04
  5. Step 5: Solve for x
    x = 102,977,019,191.04/341,209.60
  6. Step 6: Final answer
    x = 301,799.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.