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Finding the Fourth Proportional to 472,077.05, 708,410.83 and 191,594.30

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Solution

The fourth proportional to 472,077.05, 708,410.83 and 191,594.30 is: 287,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,077.05 : 708,410.83 = 191,594.30 : x
  2. Step 2: Convert to fraction form
    472,077.05/708,410.83 = 191,594.30/x
  3. Step 3: Cross multiply
    472,077.05x = 708,410.83 × 191,594.30
  4. Step 4: Simplify right side
    472,077.05x = 135,727,476,607.28
  5. Step 5: Solve for x
    x = 135,727,476,607.28/472,077.05
  6. Step 6: Final answer
    x = 287,511.28

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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.