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Finding the Fourth Proportional to 597,614.63, 824,708.20 and 329,342.63

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Solution

The fourth proportional to 597,614.63, 824,708.20 and 329,342.63 is: 454,492.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,614.63 : 824,708.20 = 329,342.63 : x
  2. Step 2: Convert to fraction form
    597,614.63/824,708.20 = 329,342.63/x
  3. Step 3: Cross multiply
    597,614.63x = 824,708.20 × 329,342.63
  4. Step 4: Simplify right side
    597,614.63x = 271,611,567,570.57
  5. Step 5: Solve for x
    x = 271,611,567,570.57/597,614.63
  6. Step 6: Final answer
    x = 454,492.84

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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.