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Finding the Fourth Proportional to 363,455.24, 545,416.14 and 176,364.68

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Solution

The fourth proportional to 363,455.24, 545,416.14 and 176,364.68 is: 264,660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,455.24 : 545,416.14 = 176,364.68 : x
  2. Step 2: Convert to fraction form
    363,455.24/545,416.14 = 176,364.68/x
  3. Step 3: Cross multiply
    363,455.24x = 545,416.14 × 176,364.68
  4. Step 4: Simplify right side
    363,455.24x = 96,192,142,997.94
  5. Step 5: Solve for x
    x = 96,192,142,997.94/363,455.24
  6. Step 6: Final answer
    x = 264,660.22

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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.