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Finding the Fourth Proportional to 597,204.50, 824,142.21 and 328,932.50

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Solution

The fourth proportional to 597,204.50, 824,142.21 and 328,932.50 is: 453,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,204.50 : 824,142.21 = 328,932.50 : x
  2. Step 2: Convert to fraction form
    597,204.50/824,142.21 = 328,932.50/x
  3. Step 3: Cross multiply
    597,204.50x = 824,142.21 × 328,932.50
  4. Step 4: Simplify right side
    597,204.50x = 271,087,157,490.83
  5. Step 5: Solve for x
    x = 271,087,157,490.83/597,204.50
  6. Step 6: Final answer
    x = 453,926.85

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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.