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Finding the Fourth Proportional to 538,406.60, 807,545.10 and 222,830.60

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Solution

The fourth proportional to 538,406.60, 807,545.10 and 222,830.60 is: 334,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,406.60 : 807,545.10 = 222,830.60 : x
  2. Step 2: Convert to fraction form
    538,406.60/807,545.10 = 222,830.60/x
  3. Step 3: Cross multiply
    538,406.60x = 807,545.10 × 222,830.60
  4. Step 4: Simplify right side
    538,406.60x = 179,945,759,160.06
  5. Step 5: Solve for x
    x = 179,945,759,160.06/538,406.60
  6. Step 6: Final answer
    x = 334,219.08

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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.