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Finding the Fourth Proportional to 407,691.34, 611,610.48 and 167,762.86

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Solution

The fourth proportional to 407,691.34, 611,610.48 and 167,762.86 is: 251,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,691.34 : 611,610.48 = 167,762.86 : x
  2. Step 2: Convert to fraction form
    407,691.34/611,610.48 = 167,762.86/x
  3. Step 3: Cross multiply
    407,691.34x = 611,610.48 × 167,762.86
  4. Step 4: Simplify right side
    407,691.34x = 102,605,523,330.77
  5. Step 5: Solve for x
    x = 102,605,523,330.77/407,691.34
  6. Step 6: Final answer
    x = 251,674.52

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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.