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Finding the Fourth Proportional to 472,853.34, 709,487.94 and 248,161.13

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Solution

The fourth proportional to 472,853.34, 709,487.94 and 248,161.13 is: 372,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,853.34 : 709,487.94 = 248,161.13 : x
  2. Step 2: Convert to fraction form
    472,853.34/709,487.94 = 248,161.13/x
  3. Step 3: Cross multiply
    472,853.34x = 709,487.94 × 248,161.13
  4. Step 4: Simplify right side
    472,853.34x = 176,067,325,364.33
  5. Step 5: Solve for x
    x = 176,067,325,364.33/472,853.34
  6. Step 6: Final answer
    x = 372,350.81

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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.