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Finding the Fourth Proportional to 597,193.50, 824,127.04 and 328,921.50

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Solution

The fourth proportional to 597,193.50, 824,127.04 and 328,921.50 is: 453,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,193.50 : 824,127.04 = 328,921.50 : x
  2. Step 2: Convert to fraction form
    597,193.50/824,127.04 = 328,921.50/x
  3. Step 3: Cross multiply
    597,193.50x = 824,127.04 × 328,921.50
  4. Step 4: Simplify right side
    597,193.50x = 271,073,102,187.36
  5. Step 5: Solve for x
    x = 271,073,102,187.36/597,193.50
  6. Step 6: Final answer
    x = 453,911.68

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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.