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Finding the Fourth Proportional to 382,442.64, 573,729.60 and 116,230.08

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Solution

The fourth proportional to 382,442.64, 573,729.60 and 116,230.08 is: 174,365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,442.64 : 573,729.60 = 116,230.08 : x
  2. Step 2: Convert to fraction form
    382,442.64/573,729.60 = 116,230.08/x
  3. Step 3: Cross multiply
    382,442.64x = 573,729.60 × 116,230.08
  4. Step 4: Simplify right side
    382,442.64x = 66,684,637,306.37
  5. Step 5: Solve for x
    x = 66,684,637,306.37/382,442.64
  6. Step 6: Final answer
    x = 174,365.07

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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.