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Finding the Fourth Proportional to 331,955.55, 497,678.10 and 171,859.86

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Solution

The fourth proportional to 331,955.55, 497,678.10 and 171,859.86 is: 257,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,955.55 : 497,678.10 = 171,859.86 : x
  2. Step 2: Convert to fraction form
    331,955.55/497,678.10 = 171,859.86/x
  3. Step 3: Cross multiply
    331,955.55x = 497,678.10 × 171,859.86
  4. Step 4: Simplify right side
    331,955.55x = 85,530,888,591.07
  5. Step 5: Solve for x
    x = 85,530,888,591.07/331,955.55
  6. Step 6: Final answer
    x = 257,657.66

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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.