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Finding the Fourth Proportional to 472,104.93, 708,452.64 and 191,622.18

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Solution

The fourth proportional to 472,104.93, 708,452.64 and 191,622.18 is: 287,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,104.93 : 708,452.64 = 191,622.18 : x
  2. Step 2: Convert to fraction form
    472,104.93/708,452.64 = 191,622.18/x
  3. Step 3: Cross multiply
    472,104.93x = 708,452.64 × 191,622.18
  4. Step 4: Simplify right side
    472,104.93x = 135,755,239,303.56
  5. Step 5: Solve for x
    x = 135,755,239,303.56/472,104.93
  6. Step 6: Final answer
    x = 287,553.11

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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.