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Finding the Fourth Proportional to 827,011.86, 1,141,272.05 and 464,451

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Solution

The fourth proportional to 827,011.86, 1,141,272.05 and 464,451 is: 640,939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,011.86 : 1,141,272.05 = 464,451 : x
  2. Step 2: Convert to fraction form
    827,011.86/1,141,272.05 = 464,451/x
  3. Step 3: Cross multiply
    827,011.86x = 1,141,272.05 × 464,451
  4. Step 4: Simplify right side
    827,011.86x = 530,064,942,572.30
  5. Step 5: Solve for x
    x = 530,064,942,572.30/827,011.86
  6. Step 6: Final answer
    x = 640,939.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.