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Finding the Fourth Proportional to 288,051.20, 432,076.80 and 259,020.80

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Solution

The fourth proportional to 288,051.20, 432,076.80 and 259,020.80 is: 388,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,051.20 : 432,076.80 = 259,020.80 : x
  2. Step 2: Convert to fraction form
    288,051.20/432,076.80 = 259,020.80/x
  3. Step 3: Cross multiply
    288,051.20x = 432,076.80 × 259,020.80
  4. Step 4: Simplify right side
    288,051.20x = 111,916,878,397.44
  5. Step 5: Solve for x
    x = 111,916,878,397.44/288,051.20
  6. Step 6: Final answer
    x = 388,531.20

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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.