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Finding the Fourth Proportional to 702,755, 1,054,161.66 and 204,119

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Solution

The fourth proportional to 702,755, 1,054,161.66 and 204,119 is: 306,186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,755 : 1,054,161.66 = 204,119 : x
  2. Step 2: Convert to fraction form
    702,755/1,054,161.66 = 204,119/x
  3. Step 3: Cross multiply
    702,755x = 1,054,161.66 × 204,119
  4. Step 4: Simplify right side
    702,755x = 215,174,423,877.54
  5. Step 5: Solve for x
    x = 215,174,423,877.54/702,755
  6. Step 6: Final answer
    x = 306,186.97

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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.