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Finding the Fourth Proportional to 597,508.97, 896,528.42 and 313,131.91

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Solution

The fourth proportional to 597,508.97, 896,528.42 and 313,131.91 is: 469,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,508.97 : 896,528.42 = 313,131.91 : x
  2. Step 2: Convert to fraction form
    597,508.97/896,528.42 = 313,131.91/x
  3. Step 3: Cross multiply
    597,508.97x = 896,528.42 × 313,131.91
  4. Step 4: Simplify right side
    597,508.97x = 280,731,656,523.88
  5. Step 5: Solve for x
    x = 280,731,656,523.88/597,508.97
  6. Step 6: Final answer
    x = 469,836.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.