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Finding the Fourth Proportional to 305,918.16, 422,178.91 and 209,324.50

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Solution

The fourth proportional to 305,918.16, 422,178.91 and 209,324.50 is: 288,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,918.16 : 422,178.91 = 209,324.50 : x
  2. Step 2: Convert to fraction form
    305,918.16/422,178.91 = 209,324.50/x
  3. Step 3: Cross multiply
    305,918.16x = 422,178.91 × 209,324.50
  4. Step 4: Simplify right side
    305,918.16x = 88,372,387,135.40
  5. Step 5: Solve for x
    x = 88,372,387,135.40/305,918.16
  6. Step 6: Final answer
    x = 288,875.91

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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.