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Finding the Fourth Proportional to 301,599, 416,206.62 and 167,463

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Solution

The fourth proportional to 301,599, 416,206.62 and 167,463 is: 231,098.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,599 : 416,206.62 = 167,463 : x
  2. Step 2: Convert to fraction form
    301,599/416,206.62 = 167,463/x
  3. Step 3: Cross multiply
    301,599x = 416,206.62 × 167,463
  4. Step 4: Simplify right side
    301,599x = 69,699,209,205.06
  5. Step 5: Solve for x
    x = 69,699,209,205.06/301,599
  6. Step 6: Final answer
    x = 231,098.94

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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.