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Finding the Fourth Proportional to 538,405.60, 807,543.60 and 222,829.60

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Solution

The fourth proportional to 538,405.60, 807,543.60 and 222,829.60 is: 334,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,405.60 : 807,543.60 = 222,829.60 : x
  2. Step 2: Convert to fraction form
    538,405.60/807,543.60 = 222,829.60/x
  3. Step 3: Cross multiply
    538,405.60x = 807,543.60 × 222,829.60
  4. Step 4: Simplify right side
    538,405.60x = 179,944,617,370.56
  5. Step 5: Solve for x
    x = 179,944,617,370.56/538,405.60
  6. Step 6: Final answer
    x = 334,217.58

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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.