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Finding the Fourth Proportional to 472,043.16, 708,360 and 191,560.41

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Solution

The fourth proportional to 472,043.16, 708,360 and 191,560.41 is: 287,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,043.16 : 708,360 = 191,560.41 : x
  2. Step 2: Convert to fraction form
    472,043.16/708,360 = 191,560.41/x
  3. Step 3: Cross multiply
    472,043.16x = 708,360 × 191,560.41
  4. Step 4: Simplify right side
    472,043.16x = 135,693,732,027.60
  5. Step 5: Solve for x
    x = 135,693,732,027.60/472,043.16
  6. Step 6: Final answer
    x = 287,460.43

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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.