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Finding the Fourth Proportional to 357,568.50, 536,344.44 and 180,027.84

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Solution

The fourth proportional to 357,568.50, 536,344.44 and 180,027.84 is: 270,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,568.50 : 536,344.44 = 180,027.84 : x
  2. Step 2: Convert to fraction form
    357,568.50/536,344.44 = 180,027.84/x
  3. Step 3: Cross multiply
    357,568.50x = 536,344.44 × 180,027.84
  4. Step 4: Simplify right side
    357,568.50x = 96,556,931,029.21
  5. Step 5: Solve for x
    x = 96,556,931,029.21/357,568.50
  6. Step 6: Final answer
    x = 270,037.58

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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.