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Finding the Fourth Proportional to 309,056.41, 463,717.79 and 166,873.46

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Solution

The fourth proportional to 309,056.41, 463,717.79 and 166,873.46 is: 250,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,056.41 : 463,717.79 = 166,873.46 : x
  2. Step 2: Convert to fraction form
    309,056.41/463,717.79 = 166,873.46/x
  3. Step 3: Cross multiply
    309,056.41x = 463,717.79 × 166,873.46
  4. Step 4: Simplify right side
    309,056.41x = 77,382,191,246.49
  5. Step 5: Solve for x
    x = 77,382,191,246.49/309,056.41
  6. Step 6: Final answer
    x = 250,382.10

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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.