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Finding the Fourth Proportional to 288,597.86, 432,992.76 and 181,858.48

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Solution

The fourth proportional to 288,597.86, 432,992.76 and 181,858.48 is: 272,848.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,597.86 : 432,992.76 = 181,858.48 : x
  2. Step 2: Convert to fraction form
    288,597.86/432,992.76 = 181,858.48/x
  3. Step 3: Cross multiply
    288,597.86x = 432,992.76 × 181,858.48
  4. Step 4: Simplify right side
    288,597.86x = 78,743,405,184.60
  5. Step 5: Solve for x
    x = 78,743,405,184.60/288,597.86
  6. Step 6: Final answer
    x = 272,848.20

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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.