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Finding the Fourth Proportional to 382,256.88, 573,387.16 and 116,019.71

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Solution

The fourth proportional to 382,256.88, 573,387.16 and 116,019.71 is: 174,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,256.88 : 573,387.16 = 116,019.71 : x
  2. Step 2: Convert to fraction form
    382,256.88/573,387.16 = 116,019.71/x
  3. Step 3: Cross multiply
    382,256.88x = 573,387.16 × 116,019.71
  4. Step 4: Simplify right side
    382,256.88x = 66,524,212,020.92
  5. Step 5: Solve for x
    x = 66,524,212,020.92/382,256.88
  6. Step 6: Final answer
    x = 174,030.12

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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.