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Finding the Fourth Proportional to 469,382.30, 704,103.17 and 181,331.32

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Solution

The fourth proportional to 469,382.30, 704,103.17 and 181,331.32 is: 272,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,382.30 : 704,103.17 = 181,331.32 : x
  2. Step 2: Convert to fraction form
    469,382.30/704,103.17 = 181,331.32/x
  3. Step 3: Cross multiply
    469,382.30x = 704,103.17 × 181,331.32
  4. Step 4: Simplify right side
    469,382.30x = 127,675,957,232.28
  5. Step 5: Solve for x
    x = 127,675,957,232.28/469,382.30
  6. Step 6: Final answer
    x = 272,008.46

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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.