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Finding the Fourth Proportional to 291,619.20, 437,428.80 and 197,140.80

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Solution

The fourth proportional to 291,619.20, 437,428.80 and 197,140.80 is: 295,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,619.20 : 437,428.80 = 197,140.80 : x
  2. Step 2: Convert to fraction form
    291,619.20/437,428.80 = 197,140.80/x
  3. Step 3: Cross multiply
    291,619.20x = 437,428.80 × 197,140.80
  4. Step 4: Simplify right side
    291,619.20x = 86,235,063,575.04
  5. Step 5: Solve for x
    x = 86,235,063,575.04/291,619.20
  6. Step 6: Final answer
    x = 295,711.20

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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.