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Finding the Fourth Proportional to 314,359.18, 471,167.44 and 134,391.96

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Solution

The fourth proportional to 314,359.18, 471,167.44 and 134,391.96 is: 201,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,359.18 : 471,167.44 = 134,391.96 : x
  2. Step 2: Convert to fraction form
    314,359.18/471,167.44 = 134,391.96/x
  3. Step 3: Cross multiply
    314,359.18x = 471,167.44 × 134,391.96
  4. Step 4: Simplify right side
    314,359.18x = 63,321,115,413.80
  5. Step 5: Solve for x
    x = 63,321,115,413.80/314,359.18
  6. Step 6: Final answer
    x = 201,429.19

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Why These Related Problems?

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