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Finding the Fourth Proportional to 601,188, 901,920.24 and 207,204

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Solution

The fourth proportional to 601,188, 901,920.24 and 207,204 is: 310,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,188 : 901,920.24 = 207,204 : x
  2. Step 2: Convert to fraction form
    601,188/901,920.24 = 207,204/x
  3. Step 3: Cross multiply
    601,188x = 901,920.24 × 207,204
  4. Step 4: Simplify right side
    601,188x = 186,881,481,408.96
  5. Step 5: Solve for x
    x = 186,881,481,408.96/601,188
  6. Step 6: Final answer
    x = 310,853.65

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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.