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Finding the Fourth Proportional to 314,869.41, 472,406.22 and 188,489.97

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Solution

The fourth proportional to 314,869.41, 472,406.22 and 188,489.97 is: 282,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,869.41 : 472,406.22 = 188,489.97 : x
  2. Step 2: Convert to fraction form
    314,869.41/472,406.22 = 188,489.97/x
  3. Step 3: Cross multiply
    314,869.41x = 472,406.22 × 188,489.97
  4. Step 4: Simplify right side
    314,869.41x = 89,043,834,235.61
  5. Step 5: Solve for x
    x = 89,043,834,235.61/314,869.41
  6. Step 6: Final answer
    x = 282,796.08

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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.