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Finding the Fourth Proportional to 397,732.32, 596,360.53 and 269,805.82

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Solution

The fourth proportional to 397,732.32, 596,360.53 and 269,805.82 is: 404,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,732.32 : 596,360.53 = 269,805.82 : x
  2. Step 2: Convert to fraction form
    397,732.32/596,360.53 = 269,805.82/x
  3. Step 3: Cross multiply
    397,732.32x = 596,360.53 × 269,805.82
  4. Step 4: Simplify right side
    397,732.32x = 160,901,540,658.64
  5. Step 5: Solve for x
    x = 160,901,540,658.64/397,732.32
  6. Step 6: Final answer
    x = 404,547.31

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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.