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Finding the Fourth Proportional to 597,756.82, 896,192.34 and 361,044.16

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Solution

The fourth proportional to 597,756.82, 896,192.34 and 361,044.16 is: 541,298.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,756.82 : 896,192.34 = 361,044.16 : x
  2. Step 2: Convert to fraction form
    597,756.82/896,192.34 = 361,044.16/x
  3. Step 3: Cross multiply
    597,756.82x = 896,192.34 × 361,044.16
  4. Step 4: Simplify right side
    597,756.82x = 323,565,010,593.73
  5. Step 5: Solve for x
    x = 323,565,010,593.73/597,756.82
  6. Step 6: Final answer
    x = 541,298.74

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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.