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Finding the Fourth Proportional to 382,334.76, 573,464.89 and 116,097.58

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Solution

The fourth proportional to 382,334.76, 573,464.89 and 116,097.58 is: 174,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,334.76 : 573,464.89 = 116,097.58 : x
  2. Step 2: Convert to fraction form
    382,334.76/573,464.89 = 116,097.58/x
  3. Step 3: Cross multiply
    382,334.76x = 573,464.89 × 116,097.58
  4. Step 4: Simplify right side
    382,334.76x = 66,577,884,866.52
  5. Step 5: Solve for x
    x = 66,577,884,866.52/382,334.76
  6. Step 6: Final answer
    x = 174,135.06

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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.