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Finding the Fourth Proportional to 584,279.70, 876,469.72 and 205,167.84

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Solution

The fourth proportional to 584,279.70, 876,469.72 and 205,167.84 is: 307,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,279.70 : 876,469.72 = 205,167.84 : x
  2. Step 2: Convert to fraction form
    584,279.70/876,469.72 = 205,167.84/x
  3. Step 3: Cross multiply
    584,279.70x = 876,469.72 × 205,167.84
  4. Step 4: Simplify right side
    584,279.70x = 179,823,399,277.81
  5. Step 5: Solve for x
    x = 179,823,399,277.81/584,279.70
  6. Step 6: Final answer
    x = 307,769.38

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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.