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Finding the Fourth Proportional to 456,411.14, 684,778.92 and 203,668.64

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Solution

The fourth proportional to 456,411.14, 684,778.92 and 203,668.64 is: 305,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,411.14 : 684,778.92 = 203,668.64 : x
  2. Step 2: Convert to fraction form
    456,411.14/684,778.92 = 203,668.64/x
  3. Step 3: Cross multiply
    456,411.14x = 684,778.92 × 203,668.64
  4. Step 4: Simplify right side
    456,411.14x = 139,467,991,337.07
  5. Step 5: Solve for x
    x = 139,467,991,337.07/456,411.14
  6. Step 6: Final answer
    x = 305,575.34

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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.