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Finding the Fourth Proportional to 322,451.76, 483,678.78 and 97,814.13

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Solution

The fourth proportional to 322,451.76, 483,678.78 and 97,814.13 is: 146,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,451.76 : 483,678.78 = 97,814.13 : x
  2. Step 2: Convert to fraction form
    322,451.76/483,678.78 = 97,814.13/x
  3. Step 3: Cross multiply
    322,451.76x = 483,678.78 × 97,814.13
  4. Step 4: Simplify right side
    322,451.76x = 47,310,619,065.16
  5. Step 5: Solve for x
    x = 47,310,619,065.16/322,451.76
  6. Step 6: Final answer
    x = 146,721.54

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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.