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Finding the Fourth Proportional to 400,116.29, 552,699.65 and 320,115.83

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Solution

The fourth proportional to 400,116.29, 552,699.65 and 320,115.83 is: 442,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,116.29 : 552,699.65 = 320,115.83 : x
  2. Step 2: Convert to fraction form
    400,116.29/552,699.65 = 320,115.83/x
  3. Step 3: Cross multiply
    400,116.29x = 552,699.65 × 320,115.83
  4. Step 4: Simplify right side
    400,116.29x = 176,927,902,836.38
  5. Step 5: Solve for x
    x = 176,927,902,836.38/400,116.29
  6. Step 6: Final answer
    x = 442,191.21

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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.