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Finding the Fourth Proportional to 319,341.69, 440,713.31 and 185,205.69

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Solution

The fourth proportional to 319,341.69, 440,713.31 and 185,205.69 is: 255,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,341.69 : 440,713.31 = 185,205.69 : x
  2. Step 2: Convert to fraction form
    319,341.69/440,713.31 = 185,205.69/x
  3. Step 3: Cross multiply
    319,341.69x = 440,713.31 × 185,205.69
  4. Step 4: Simplify right side
    319,341.69x = 81,622,611,744.71
  5. Step 5: Solve for x
    x = 81,622,611,744.71/319,341.69
  6. Step 6: Final answer
    x = 255,596.48

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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.