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Finding the Fourth Proportional to 497,013.12, 745,338.24 and 181,376.64

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Solution

The fourth proportional to 497,013.12, 745,338.24 and 181,376.64 is: 271,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,013.12 : 745,338.24 = 181,376.64 : x
  2. Step 2: Convert to fraction form
    497,013.12/745,338.24 = 181,376.64/x
  3. Step 3: Cross multiply
    497,013.12x = 745,338.24 × 181,376.64
  4. Step 4: Simplify right side
    497,013.12x = 135,186,945,634.71
  5. Step 5: Solve for x
    x = 135,186,945,634.71/497,013.12
  6. Step 6: Final answer
    x = 271,998.75

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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.