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Finding the Fourth Proportional to 353,097.57, 487,272.60 and 200,164.60

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Solution

The fourth proportional to 353,097.57, 487,272.60 and 200,164.60 is: 276,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,097.57 : 487,272.60 = 200,164.60 : x
  2. Step 2: Convert to fraction form
    353,097.57/487,272.60 = 200,164.60/x
  3. Step 3: Cross multiply
    353,097.57x = 487,272.60 × 200,164.60
  4. Step 4: Simplify right side
    353,097.57x = 97,534,725,069.96
  5. Step 5: Solve for x
    x = 97,534,725,069.96/353,097.57
  6. Step 6: Final answer
    x = 276,225.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.