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Finding the Fourth Proportional to 322,256.81, 483,491.84 and 172,463.72

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Solution

The fourth proportional to 322,256.81, 483,491.84 and 172,463.72 is: 258,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,256.81 : 483,491.84 = 172,463.72 : x
  2. Step 2: Convert to fraction form
    322,256.81/483,491.84 = 172,463.72/x
  3. Step 3: Cross multiply
    322,256.81x = 483,491.84 × 172,463.72
  4. Step 4: Simplify right side
    322,256.81x = 83,384,798,036.27
  5. Step 5: Solve for x
    x = 83,384,798,036.27/322,256.81
  6. Step 6: Final answer
    x = 258,752.63

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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.