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Finding the Fourth Proportional to 291,050.48, 401,648.14 and 163,727

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Solution

The fourth proportional to 291,050.48, 401,648.14 and 163,727 is: 225,942.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,050.48 : 401,648.14 = 163,727 : x
  2. Step 2: Convert to fraction form
    291,050.48/401,648.14 = 163,727/x
  3. Step 3: Cross multiply
    291,050.48x = 401,648.14 × 163,727
  4. Step 4: Simplify right side
    291,050.48x = 65,760,645,017.78
  5. Step 5: Solve for x
    x = 65,760,645,017.78/291,050.48
  6. Step 6: Final answer
    x = 225,942.40

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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.