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Finding the Fourth Proportional to 597,253.50, 824,209.88 and 328,981.50

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Solution

The fourth proportional to 597,253.50, 824,209.88 and 328,981.50 is: 453,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,253.50 : 824,209.88 = 328,981.50 : x
  2. Step 2: Convert to fraction form
    597,253.50/824,209.88 = 328,981.50/x
  3. Step 3: Cross multiply
    597,253.50x = 824,209.88 × 328,981.50
  4. Step 4: Simplify right side
    597,253.50x = 271,149,800,992.31
  5. Step 5: Solve for x
    x = 271,149,800,992.31/597,253.50
  6. Step 6: Final answer
    x = 453,994.49

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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.