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Finding the Fourth Proportional to 340,962.89, 470,336.22 and 213,417.05

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Solution

The fourth proportional to 340,962.89, 470,336.22 and 213,417.05 is: 294,394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,962.89 : 470,336.22 = 213,417.05 : x
  2. Step 2: Convert to fraction form
    340,962.89/470,336.22 = 213,417.05/x
  3. Step 3: Cross multiply
    340,962.89x = 470,336.22 × 213,417.05
  4. Step 4: Simplify right side
    340,962.89x = 100,377,766,228.87
  5. Step 5: Solve for x
    x = 100,377,766,228.87/340,962.89
  6. Step 6: Final answer
    x = 294,394.99

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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.