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Finding the Fourth Proportional to 341,729.30, 512,593.95 and 141,983.30

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Solution

The fourth proportional to 341,729.30, 512,593.95 and 141,983.30 is: 212,974.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,729.30 : 512,593.95 = 141,983.30 : x
  2. Step 2: Convert to fraction form
    341,729.30/512,593.95 = 141,983.30/x
  3. Step 3: Cross multiply
    341,729.30x = 512,593.95 × 141,983.30
  4. Step 4: Simplify right side
    341,729.30x = 72,779,780,581.04
  5. Step 5: Solve for x
    x = 72,779,780,581.04/341,729.30
  6. Step 6: Final answer
    x = 212,974.95

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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.