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Finding the Fourth Proportional to 409,542, 614,313 and 114,054

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Solution

The fourth proportional to 409,542, 614,313 and 114,054 is: 171,081

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,542 : 614,313 = 114,054 : x
  2. Step 2: Convert to fraction form
    409,542/614,313 = 114,054/x
  3. Step 3: Cross multiply
    409,542x = 614,313 × 114,054
  4. Step 4: Simplify right side
    409,542x = 70,064,854,902
  5. Step 5: Solve for x
    x = 70,064,854,902/409,542
  6. Step 6: Final answer
    x = 171,081

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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.