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Finding the Fourth Proportional to 472,077.43, 708,411.39 and 191,594.68

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Solution

The fourth proportional to 472,077.43, 708,411.39 and 191,594.68 is: 287,511.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,077.43 : 708,411.39 = 191,594.68 : x
  2. Step 2: Convert to fraction form
    472,077.43/708,411.39 = 191,594.68/x
  3. Step 3: Cross multiply
    472,077.43x = 708,411.39 × 191,594.68
  4. Step 4: Simplify right side
    472,077.43x = 135,727,850,033.35
  5. Step 5: Solve for x
    x = 135,727,850,033.35/472,077.43
  6. Step 6: Final answer
    x = 287,511.84

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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.