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Finding the Fourth Proportional to 288,007.20, 431,427.60 and 199,360.80

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Solution

The fourth proportional to 288,007.20, 431,427.60 and 199,360.80 is: 298,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,007.20 : 431,427.60 = 199,360.80 : x
  2. Step 2: Convert to fraction form
    288,007.20/431,427.60 = 199,360.80/x
  3. Step 3: Cross multiply
    288,007.20x = 431,427.60 × 199,360.80
  4. Step 4: Simplify right side
    288,007.20x = 86,009,751,478.08
  5. Step 5: Solve for x
    x = 86,009,751,478.08/288,007.20
  6. Step 6: Final answer
    x = 298,637.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.