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Finding the Fourth Proportional to 341,097.60, 512,229.60 and 223,291.20

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Solution

The fourth proportional to 341,097.60, 512,229.60 and 223,291.20 is: 335,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,097.60 : 512,229.60 = 223,291.20 : x
  2. Step 2: Convert to fraction form
    341,097.60/512,229.60 = 223,291.20/x
  3. Step 3: Cross multiply
    341,097.60x = 512,229.60 × 223,291.20
  4. Step 4: Simplify right side
    341,097.60x = 114,376,362,059.52
  5. Step 5: Solve for x
    x = 114,376,362,059.52/341,097.60
  6. Step 6: Final answer
    x = 335,318.58

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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.