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Finding the Fourth Proportional to 255,231.60, 382,409.84 and 180,217.52

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Solution

The fourth proportional to 255,231.60, 382,409.84 and 180,217.52 is: 270,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,231.60 : 382,409.84 = 180,217.52 : x
  2. Step 2: Convert to fraction form
    255,231.60/382,409.84 = 180,217.52/x
  3. Step 3: Cross multiply
    255,231.60x = 382,409.84 × 180,217.52
  4. Step 4: Simplify right side
    255,231.60x = 68,916,952,988.40
  5. Step 5: Solve for x
    x = 68,916,952,988.40/255,231.60
  6. Step 6: Final answer
    x = 270,017.32

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