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Finding the Fourth Proportional to 819,726.75, 1,228,745.57 and 314,170.11

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Solution

The fourth proportional to 819,726.75, 1,228,745.57 and 314,170.11 is: 470,931.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,726.75 : 1,228,745.57 = 314,170.11 : x
  2. Step 2: Convert to fraction form
    819,726.75/1,228,745.57 = 314,170.11/x
  3. Step 3: Cross multiply
    819,726.75x = 1,228,745.57 × 314,170.11
  4. Step 4: Simplify right side
    819,726.75x = 386,035,129,318.06
  5. Step 5: Solve for x
    x = 386,035,129,318.06/819,726.75
  6. Step 6: Final answer
    x = 470,931.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.