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Finding the Fourth Proportional to 469,147.34, 647,416.33 and 265,191.12

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Solution

The fourth proportional to 469,147.34, 647,416.33 and 265,191.12 is: 365,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,147.34 : 647,416.33 = 265,191.12 : x
  2. Step 2: Convert to fraction form
    469,147.34/647,416.33 = 265,191.12/x
  3. Step 3: Cross multiply
    469,147.34x = 647,416.33 × 265,191.12
  4. Step 4: Simplify right side
    469,147.34x = 171,689,061,658.99
  5. Step 5: Solve for x
    x = 171,689,061,658.99/469,147.34
  6. Step 6: Final answer
    x = 365,959.79

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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.