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Finding the Fourth Proportional to 652,634.91, 898,958.12 and 461,319.39

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Solution

The fourth proportional to 652,634.91, 898,958.12 and 461,319.39 is: 635,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,634.91 : 898,958.12 = 461,319.39 : x
  2. Step 2: Convert to fraction form
    652,634.91/898,958.12 = 461,319.39/x
  3. Step 3: Cross multiply
    652,634.91x = 898,958.12 × 461,319.39
  4. Step 4: Simplify right side
    652,634.91x = 414,706,809,247.35
  5. Step 5: Solve for x
    x = 414,706,809,247.35/652,634.91
  6. Step 6: Final answer
    x = 635,434.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.