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Finding the Fourth Proportional to 365,309.40, 547,704.90 and 165,725.40

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Solution

The fourth proportional to 365,309.40, 547,704.90 and 165,725.40 is: 248,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,309.40 : 547,704.90 = 165,725.40 : x
  2. Step 2: Convert to fraction form
    365,309.40/547,704.90 = 165,725.40/x
  3. Step 3: Cross multiply
    365,309.40x = 547,704.90 × 165,725.40
  4. Step 4: Simplify right side
    365,309.40x = 90,768,613,634.46
  5. Step 5: Solve for x
    x = 90,768,613,634.46/365,309.40
  6. Step 6: Final answer
    x = 248,470.51

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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.