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Finding the Fourth Proportional to 335,647.26, 503,472.22 and 135,971.40

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Solution

The fourth proportional to 335,647.26, 503,472.22 and 135,971.40 is: 203,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,647.26 : 503,472.22 = 135,971.40 : x
  2. Step 2: Convert to fraction form
    335,647.26/503,472.22 = 135,971.40/x
  3. Step 3: Cross multiply
    335,647.26x = 503,472.22 × 135,971.40
  4. Step 4: Simplify right side
    335,647.26x = 68,457,822,614.51
  5. Step 5: Solve for x
    x = 68,457,822,614.51/335,647.26
  6. Step 6: Final answer
    x = 203,957.64

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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.