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Finding the Fourth Proportional to 356,641.92, 492,171.39 and 213,408

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Solution

The fourth proportional to 356,641.92, 492,171.39 and 213,408 is: 294,506.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,641.92 : 492,171.39 = 213,408 : x
  2. Step 2: Convert to fraction form
    356,641.92/492,171.39 = 213,408/x
  3. Step 3: Cross multiply
    356,641.92x = 492,171.39 × 213,408
  4. Step 4: Simplify right side
    356,641.92x = 105,033,311,997.12
  5. Step 5: Solve for x
    x = 105,033,311,997.12/356,641.92
  6. Step 6: Final answer
    x = 294,506.36

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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.