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Finding the Fourth Proportional to 382,353.06, 573,530.52 and 116,115.60

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Solution

The fourth proportional to 382,353.06, 573,530.52 and 116,115.60 is: 174,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,353.06 : 573,530.52 = 116,115.60 : x
  2. Step 2: Convert to fraction form
    382,353.06/573,530.52 = 116,115.60/x
  3. Step 3: Cross multiply
    382,353.06x = 573,530.52 × 116,115.60
  4. Step 4: Simplify right side
    382,353.06x = 66,595,840,448.11
  5. Step 5: Solve for x
    x = 66,595,840,448.11/382,353.06
  6. Step 6: Final answer
    x = 174,173.68

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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.