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Finding the Fourth Proportional to 322,451.70, 483,681.60 and 97,814.40

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Solution

The fourth proportional to 322,451.70, 483,681.60 and 97,814.40 is: 146,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,451.70 : 483,681.60 = 97,814.40 : x
  2. Step 2: Convert to fraction form
    322,451.70/483,681.60 = 97,814.40/x
  3. Step 3: Cross multiply
    322,451.70x = 483,681.60 × 97,814.40
  4. Step 4: Simplify right side
    322,451.70x = 47,311,025,495.04
  5. Step 5: Solve for x
    x = 47,311,025,495.04/322,451.70
  6. Step 6: Final answer
    x = 146,722.83

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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.