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Finding the Fourth Proportional to 364,446.72, 545,970.24 and 214,369.92

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Solution

The fourth proportional to 364,446.72, 545,970.24 and 214,369.92 is: 321,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,446.72 : 545,970.24 = 214,369.92 : x
  2. Step 2: Convert to fraction form
    364,446.72/545,970.24 = 214,369.92/x
  3. Step 3: Cross multiply
    364,446.72x = 545,970.24 × 214,369.92
  4. Step 4: Simplify right side
    364,446.72x = 117,039,596,671.18
  5. Step 5: Solve for x
    x = 117,039,596,671.18/364,446.72
  6. Step 6: Final answer
    x = 321,143.23

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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.