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Finding the Fourth Proportional to 597,253, 824,209.14 and 328,981

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Solution

The fourth proportional to 597,253, 824,209.14 and 328,981 is: 453,993.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,253 : 824,209.14 = 328,981 : x
  2. Step 2: Convert to fraction form
    597,253/824,209.14 = 328,981/x
  3. Step 3: Cross multiply
    597,253x = 824,209.14 × 328,981
  4. Step 4: Simplify right side
    597,253x = 271,149,147,086.34
  5. Step 5: Solve for x
    x = 271,149,147,086.34/597,253
  6. Step 6: Final answer
    x = 453,993.78

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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.