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Finding the Fourth Proportional to 301,563.91, 416,167.98 and 174,239.51

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Solution

The fourth proportional to 301,563.91, 416,167.98 and 174,239.51 is: 240,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,563.91 : 416,167.98 = 174,239.51 : x
  2. Step 2: Convert to fraction form
    301,563.91/416,167.98 = 174,239.51/x
  3. Step 3: Cross multiply
    301,563.91x = 416,167.98 × 174,239.51
  4. Step 4: Simplify right side
    301,563.91x = 72,512,902,178.65
  5. Step 5: Solve for x
    x = 72,512,902,178.65/301,563.91
  6. Step 6: Final answer
    x = 240,456.17

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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.