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Finding the Fourth Proportional to 472,101.36, 708,361.38 and 247,408.38

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Solution

The fourth proportional to 472,101.36, 708,361.38 and 247,408.38 is: 371,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,101.36 : 708,361.38 = 247,408.38 : x
  2. Step 2: Convert to fraction form
    472,101.36/708,361.38 = 247,408.38/x
  3. Step 3: Cross multiply
    472,101.36x = 708,361.38 × 247,408.38
  4. Step 4: Simplify right side
    472,101.36x = 175,254,541,480.36
  5. Step 5: Solve for x
    x = 175,254,541,480.36/472,101.36
  6. Step 6: Final answer
    x = 371,222.28

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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.