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Finding the Fourth Proportional to 401,350.21, 601,648.65 and 134,924.38

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Solution

The fourth proportional to 401,350.21, 601,648.65 and 134,924.38 is: 202,259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,350.21 : 601,648.65 = 134,924.38 : x
  2. Step 2: Convert to fraction form
    401,350.21/601,648.65 = 134,924.38/x
  3. Step 3: Cross multiply
    401,350.21x = 601,648.65 × 134,924.38
  4. Step 4: Simplify right side
    401,350.21x = 81,177,071,079.09
  5. Step 5: Solve for x
    x = 81,177,071,079.09/401,350.21
  6. Step 6: Final answer
    x = 202,259.94

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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.