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Finding the Fourth Proportional to 322,514.78, 483,312.74 and 237,607.20

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Solution

The fourth proportional to 322,514.78, 483,312.74 and 237,607.20 is: 356,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,514.78 : 483,312.74 = 237,607.20 : x
  2. Step 2: Convert to fraction form
    322,514.78/483,312.74 = 237,607.20/x
  3. Step 3: Cross multiply
    322,514.78x = 483,312.74 × 237,607.20
  4. Step 4: Simplify right side
    322,514.78x = 114,838,585,687.69
  5. Step 5: Solve for x
    x = 114,838,585,687.69/322,514.78
  6. Step 6: Final answer
    x = 356,072.32

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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.