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Finding the Fourth Proportional to 417,714.63, 625,729.23 and 192,762.57

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Solution

The fourth proportional to 417,714.63, 625,729.23 and 192,762.57 is: 288,754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,714.63 : 625,729.23 = 192,762.57 : x
  2. Step 2: Convert to fraction form
    417,714.63/625,729.23 = 192,762.57/x
  3. Step 3: Cross multiply
    417,714.63x = 625,729.23 × 192,762.57
  4. Step 4: Simplify right side
    417,714.63x = 120,617,174,498.92
  5. Step 5: Solve for x
    x = 120,617,174,498.92/417,714.63
  6. Step 6: Final answer
    x = 288,754.97

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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.