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Finding the Fourth Proportional to 288,596.86, 432,991.26 and 181,857.48

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Solution

The fourth proportional to 288,596.86, 432,991.26 and 181,857.48 is: 272,846.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,596.86 : 432,991.26 = 181,857.48 : x
  2. Step 2: Convert to fraction form
    288,596.86/432,991.26 = 181,857.48/x
  3. Step 3: Cross multiply
    288,596.86x = 432,991.26 × 181,857.48
  4. Step 4: Simplify right side
    288,596.86x = 78,742,699,405.62
  5. Step 5: Solve for x
    x = 78,742,699,405.62/288,596.86
  6. Step 6: Final answer
    x = 272,846.69

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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.