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Finding the Fourth Proportional to 597,905.13, 825,141.90 and 343,272.72

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Solution

The fourth proportional to 597,905.13, 825,141.90 and 343,272.72 is: 473,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,905.13 : 825,141.90 = 343,272.72 : x
  2. Step 2: Convert to fraction form
    597,905.13/825,141.90 = 343,272.72/x
  3. Step 3: Cross multiply
    597,905.13x = 825,141.90 × 343,272.72
  4. Step 4: Simplify right side
    597,905.13x = 283,248,704,398.97
  5. Step 5: Solve for x
    x = 283,248,704,398.97/597,905.13
  6. Step 6: Final answer
    x = 473,735.20

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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.