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Finding the Fourth Proportional to 341,652.88, 512,304.09 and 199,775.36

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Solution

The fourth proportional to 341,652.88, 512,304.09 and 199,775.36 is: 299,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,652.88 : 512,304.09 = 199,775.36 : x
  2. Step 2: Convert to fraction form
    341,652.88/512,304.09 = 199,775.36/x
  3. Step 3: Cross multiply
    341,652.88x = 512,304.09 × 199,775.36
  4. Step 4: Simplify right side
    341,652.88x = 102,345,734,009.22
  5. Step 5: Solve for x
    x = 102,345,734,009.22/341,652.88
  6. Step 6: Final answer
    x = 299,560.58

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1.5x scale

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.