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Finding the Fourth Proportional to 463,207.56, 638,718.81 and 301,763.22

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Solution

The fourth proportional to 463,207.56, 638,718.81 and 301,763.22 is: 416,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,207.56 : 638,718.81 = 301,763.22 : x
  2. Step 2: Convert to fraction form
    463,207.56/638,718.81 = 301,763.22/x
  3. Step 3: Cross multiply
    463,207.56x = 638,718.81 × 301,763.22
  4. Step 4: Simplify right side
    463,207.56x = 192,741,844,780.17
  5. Step 5: Solve for x
    x = 192,741,844,780.17/463,207.56
  6. Step 6: Final answer
    x = 416,102.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.