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Finding the Fourth Proportional to 382,246.86, 573,392.16 and 116,016.06

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Solution

The fourth proportional to 382,246.86, 573,392.16 and 116,016.06 is: 174,030.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,246.86 : 573,392.16 = 116,016.06 : x
  2. Step 2: Convert to fraction form
    382,246.86/573,392.16 = 116,016.06/x
  3. Step 3: Cross multiply
    382,246.86x = 573,392.16 × 116,016.06
  4. Step 4: Simplify right side
    382,246.86x = 66,522,699,238.09
  5. Step 5: Solve for x
    x = 66,522,699,238.09/382,246.86
  6. Step 6: Final answer
    x = 174,030.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.