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Finding the Fourth Proportional to 462,504.81, 693,609.57 and 146,887.89

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Solution

The fourth proportional to 462,504.81, 693,609.57 and 146,887.89 is: 220,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,504.81 : 693,609.57 = 146,887.89 : x
  2. Step 2: Convert to fraction form
    462,504.81/693,609.57 = 146,887.89/x
  3. Step 3: Cross multiply
    462,504.81x = 693,609.57 × 146,887.89
  4. Step 4: Simplify right side
    462,504.81x = 101,882,846,221.11
  5. Step 5: Solve for x
    x = 101,882,846,221.11/462,504.81
  6. Step 6: Final answer
    x = 220,284.94

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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.