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Finding the Fourth Proportional to 288,573.59, 398,024.96 and 202,551.80

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Solution

The fourth proportional to 288,573.59, 398,024.96 and 202,551.80 is: 279,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,573.59 : 398,024.96 = 202,551.80 : x
  2. Step 2: Convert to fraction form
    288,573.59/398,024.96 = 202,551.80/x
  3. Step 3: Cross multiply
    288,573.59x = 398,024.96 × 202,551.80
  4. Step 4: Simplify right side
    288,573.59x = 80,620,669,090.04
  5. Step 5: Solve for x
    x = 80,620,669,090.04/288,573.59
  6. Step 6: Final answer
    x = 279,376.46

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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.