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Finding the Fourth Proportional to 295,540.12, 407,815.91 and 166,475

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Solution

The fourth proportional to 295,540.12, 407,815.91 and 166,475 is: 229,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,540.12 : 407,815.91 = 166,475 : x
  2. Step 2: Convert to fraction form
    295,540.12/407,815.91 = 166,475/x
  3. Step 3: Cross multiply
    295,540.12x = 407,815.91 × 166,475
  4. Step 4: Simplify right side
    295,540.12x = 67,891,153,617.25
  5. Step 5: Solve for x
    x = 67,891,153,617.25/295,540.12
  6. Step 6: Final answer
    x = 229,718.91

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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.