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Finding the Fourth Proportional to 287,606.80, 431,410.20 and 259,613.20

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Solution

The fourth proportional to 287,606.80, 431,410.20 and 259,613.20 is: 389,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,606.80 : 431,410.20 = 259,613.20 : x
  2. Step 2: Convert to fraction form
    287,606.80/431,410.20 = 259,613.20/x
  3. Step 3: Cross multiply
    287,606.80x = 431,410.20 × 259,613.20
  4. Step 4: Simplify right side
    287,606.80x = 111,999,782,534.64
  5. Step 5: Solve for x
    x = 111,999,782,534.64/287,606.80
  6. Step 6: Final answer
    x = 389,419.80

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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.