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Finding the Fourth Proportional to 497,375.75, 745,439.65 and 212,732.24

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Solution

The fourth proportional to 497,375.75, 745,439.65 and 212,732.24 is: 318,831.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,375.75 : 745,439.65 = 212,732.24 : x
  2. Step 2: Convert to fraction form
    497,375.75/745,439.65 = 212,732.24/x
  3. Step 3: Cross multiply
    497,375.75x = 745,439.65 × 212,732.24
  4. Step 4: Simplify right side
    497,375.75x = 158,579,046,529.32
  5. Step 5: Solve for x
    x = 158,579,046,529.32/497,375.75
  6. Step 6: Final answer
    x = 318,831.48

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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.