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Finding the Fourth Proportional to 309,803.56, 463,721.18 and 167,446.26

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Solution

The fourth proportional to 309,803.56, 463,721.18 and 167,446.26 is: 250,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,803.56 : 463,721.18 = 167,446.26 : x
  2. Step 2: Convert to fraction form
    309,803.56/463,721.18 = 167,446.26/x
  3. Step 3: Cross multiply
    309,803.56x = 463,721.18 × 167,446.26
  4. Step 4: Simplify right side
    309,803.56x = 77,648,376,436.56
  5. Step 5: Solve for x
    x = 77,648,376,436.56/309,803.56
  6. Step 6: Final answer
    x = 250,637.46

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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.