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Finding the Fourth Proportional to 319,029.84, 440,257.61 and 181,207.80

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Solution

The fourth proportional to 319,029.84, 440,257.61 and 181,207.80 is: 250,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,029.84 : 440,257.61 = 181,207.80 : x
  2. Step 2: Convert to fraction form
    319,029.84/440,257.61 = 181,207.80/x
  3. Step 3: Cross multiply
    319,029.84x = 440,257.61 × 181,207.80
  4. Step 4: Simplify right side
    319,029.84x = 79,778,113,394.38
  5. Step 5: Solve for x
    x = 79,778,113,394.38/319,029.84
  6. Step 6: Final answer
    x = 250,064.74

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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.