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Finding the Fourth Proportional to 472,414.60, 708,665.10 and 191,873.80

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Solution

The fourth proportional to 472,414.60, 708,665.10 and 191,873.80 is: 287,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,414.60 : 708,665.10 = 191,873.80 : x
  2. Step 2: Convert to fraction form
    472,414.60/708,665.10 = 191,873.80/x
  3. Step 3: Cross multiply
    472,414.60x = 708,665.10 × 191,873.80
  4. Step 4: Simplify right side
    472,414.60x = 135,974,265,664.38
  5. Step 5: Solve for x
    x = 135,974,265,664.38/472,414.60
  6. Step 6: Final answer
    x = 287,828.25

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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.