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Finding the Fourth Proportional to 397,731.39, 596,359.13 and 269,804.88

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Solution

The fourth proportional to 397,731.39, 596,359.13 and 269,804.88 is: 404,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,731.39 : 596,359.13 = 269,804.88 : x
  2. Step 2: Convert to fraction form
    397,731.39/596,359.13 = 269,804.88/x
  3. Step 3: Cross multiply
    397,731.39x = 596,359.13 × 269,804.88
  4. Step 4: Simplify right side
    397,731.39x = 160,900,602,157.53
  5. Step 5: Solve for x
    x = 160,900,602,157.53/397,731.39
  6. Step 6: Final answer
    x = 404,545.90

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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.