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Finding the Fourth Proportional to 273,021.60, 409,532.40 and 178,543.20

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Solution

The fourth proportional to 273,021.60, 409,532.40 and 178,543.20 is: 267,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,021.60 : 409,532.40 = 178,543.20 : x
  2. Step 2: Convert to fraction form
    273,021.60/409,532.40 = 178,543.20/x
  3. Step 3: Cross multiply
    273,021.60x = 409,532.40 × 178,543.20
  4. Step 4: Simplify right side
    273,021.60x = 73,119,225,199.68
  5. Step 5: Solve for x
    x = 73,119,225,199.68/273,021.60
  6. Step 6: Final answer
    x = 267,814.80

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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.