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Finding the Fourth Proportional to 343,125.33, 514,704.42 and 165,781.50

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Solution

The fourth proportional to 343,125.33, 514,704.42 and 165,781.50 is: 248,680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,125.33 : 514,704.42 = 165,781.50 : x
  2. Step 2: Convert to fraction form
    343,125.33/514,704.42 = 165,781.50/x
  3. Step 3: Cross multiply
    343,125.33x = 514,704.42 × 165,781.50
  4. Step 4: Simplify right side
    343,125.33x = 85,328,470,804.23
  5. Step 5: Solve for x
    x = 85,328,470,804.23/343,125.33
  6. Step 6: Final answer
    x = 248,680.19

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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.