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Finding the Fourth Proportional to 301,648.84, 416,347.89 and 172,662.10

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Solution

The fourth proportional to 301,648.84, 416,347.89 and 172,662.10 is: 238,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,648.84 : 416,347.89 = 172,662.10 : x
  2. Step 2: Convert to fraction form
    301,648.84/416,347.89 = 172,662.10/x
  3. Step 3: Cross multiply
    301,648.84x = 416,347.89 × 172,662.10
  4. Step 4: Simplify right side
    301,648.84x = 71,887,498,936.23
  5. Step 5: Solve for x
    x = 71,887,498,936.23/301,648.84
  6. Step 6: Final answer
    x = 238,315.18

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