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Finding the Fourth Proportional to 538,424.96, 743,031.43 and 296,716.20

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Solution

The fourth proportional to 538,424.96, 743,031.43 and 296,716.20 is: 409,471.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,424.96 : 743,031.43 = 296,716.20 : x
  2. Step 2: Convert to fraction form
    538,424.96/743,031.43 = 296,716.20/x
  3. Step 3: Cross multiply
    538,424.96x = 743,031.43 × 296,716.20
  4. Step 4: Simplify right side
    538,424.96x = 220,469,461,648.38
  5. Step 5: Solve for x
    x = 220,469,461,648.38/538,424.96
  6. Step 6: Final answer
    x = 409,471.11

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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.