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Finding the Fourth Proportional to 288,699.44, 432,828.41 and 174,822.48

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Solution

The fourth proportional to 288,699.44, 432,828.41 and 174,822.48 is: 262,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,699.44 : 432,828.41 = 174,822.48 : x
  2. Step 2: Convert to fraction form
    288,699.44/432,828.41 = 174,822.48/x
  3. Step 3: Cross multiply
    288,699.44x = 432,828.41 × 174,822.48
  4. Step 4: Simplify right side
    288,699.44x = 75,668,135,176.54
  5. Step 5: Solve for x
    x = 75,668,135,176.54/288,699.44
  6. Step 6: Final answer
    x = 262,100.05

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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.