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Finding the Fourth Proportional to 324,675.84, 448,044.31 and 181,437.06

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Solution

The fourth proportional to 324,675.84, 448,044.31 and 181,437.06 is: 250,378.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,675.84 : 448,044.31 = 181,437.06 : x
  2. Step 2: Convert to fraction form
    324,675.84/448,044.31 = 181,437.06/x
  3. Step 3: Cross multiply
    324,675.84x = 448,044.31 × 181,437.06
  4. Step 4: Simplify right side
    324,675.84x = 81,291,844,263.09
  5. Step 5: Solve for x
    x = 81,291,844,263.09/324,675.84
  6. Step 6: Final answer
    x = 250,378.48

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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.