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Finding the Fourth Proportional to 512,089.80, 766,752.30 and 401,497.80

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Solution

The fourth proportional to 512,089.80, 766,752.30 and 401,497.80 is: 601,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,089.80 : 766,752.30 = 401,497.80 : x
  2. Step 2: Convert to fraction form
    512,089.80/766,752.30 = 401,497.80/x
  3. Step 3: Cross multiply
    512,089.80x = 766,752.30 × 401,497.80
  4. Step 4: Simplify right side
    512,089.80x = 307,849,361,594.94
  5. Step 5: Solve for x
    x = 307,849,361,594.94/512,089.80
  6. Step 6: Final answer
    x = 601,162.85

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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.