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Finding the Fourth Proportional to 438,594.20, 657,910.74 and 123,044.12

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Solution

The fourth proportional to 438,594.20, 657,910.74 and 123,044.12 is: 184,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,594.20 : 657,910.74 = 123,044.12 : x
  2. Step 2: Convert to fraction form
    438,594.20/657,910.74 = 123,044.12/x
  3. Step 3: Cross multiply
    438,594.20x = 657,910.74 × 123,044.12
  4. Step 4: Simplify right side
    438,594.20x = 80,952,048,041.85
  5. Step 5: Solve for x
    x = 80,952,048,041.85/438,594.20
  6. Step 6: Final answer
    x = 184,571.63

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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.