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Finding the Fourth Proportional to 357,434.86, 535,994.82 and 167,949.12

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Solution

The fourth proportional to 357,434.86, 535,994.82 and 167,949.12 is: 251,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,434.86 : 535,994.82 = 167,949.12 : x
  2. Step 2: Convert to fraction form
    357,434.86/535,994.82 = 167,949.12/x
  3. Step 3: Cross multiply
    357,434.86x = 535,994.82 × 167,949.12
  4. Step 4: Simplify right side
    357,434.86x = 90,019,858,343.56
  5. Step 5: Solve for x
    x = 90,019,858,343.56/357,434.86
  6. Step 6: Final answer
    x = 251,849.69

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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.