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Finding the Fourth Proportional to 597,400, 824,412 and 329,133.76

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Solution

The fourth proportional to 597,400, 824,412 and 329,133.76 is: 454,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,400 : 824,412 = 329,133.76 : x
  2. Step 2: Convert to fraction form
    597,400/824,412 = 329,133.76/x
  3. Step 3: Cross multiply
    597,400x = 824,412 × 329,133.76
  4. Step 4: Simplify right side
    597,400x = 271,341,821,349.12
  5. Step 5: Solve for x
    x = 271,341,821,349.12/597,400
  6. Step 6: Final answer
    x = 454,204.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.