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Finding the Fourth Proportional to 327,191.57, 490,793.50 and 102,547.03

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Solution

The fourth proportional to 327,191.57, 490,793.50 and 102,547.03 is: 153,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,191.57 : 490,793.50 = 102,547.03 : x
  2. Step 2: Convert to fraction form
    327,191.57/490,793.50 = 102,547.03/x
  3. Step 3: Cross multiply
    327,191.57x = 490,793.50 × 102,547.03
  4. Step 4: Simplify right side
    327,191.57x = 50,329,415,768.31
  5. Step 5: Solve for x
    x = 50,329,415,768.31/327,191.57
  6. Step 6: Final answer
    x = 153,822.47

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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.