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Finding the Fourth Proportional to 315,486, 435,408.84 and 179,552.97

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Solution

The fourth proportional to 315,486, 435,408.84 and 179,552.97 is: 247,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,486 : 435,408.84 = 179,552.97 : x
  2. Step 2: Convert to fraction form
    315,486/435,408.84 = 179,552.97/x
  3. Step 3: Cross multiply
    315,486x = 435,408.84 × 179,552.97
  4. Step 4: Simplify right side
    315,486x = 78,178,950,386.25
  5. Step 5: Solve for x
    x = 78,178,950,386.25/315,486
  6. Step 6: Final answer
    x = 247,804.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.