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Finding the Fourth Proportional to 437,713.92, 657,037.44 and 421,850.88

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Solution

The fourth proportional to 437,713.92, 657,037.44 and 421,850.88 is: 633,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,713.92 : 657,037.44 = 421,850.88 : x
  2. Step 2: Convert to fraction form
    437,713.92/657,037.44 = 421,850.88/x
  3. Step 3: Cross multiply
    437,713.92x = 657,037.44 × 421,850.88
  4. Step 4: Simplify right side
    437,713.92x = 277,171,822,256.95
  5. Step 5: Solve for x
    x = 277,171,822,256.95/437,713.92
  6. Step 6: Final answer
    x = 633,225.97

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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.