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Finding the Fourth Proportional to 438,447.74, 657,597.49 and 122,832.05

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Solution

The fourth proportional to 438,447.74, 657,597.49 and 122,832.05 is: 184,227.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,447.74 : 657,597.49 = 122,832.05 : x
  2. Step 2: Convert to fraction form
    438,447.74/657,597.49 = 122,832.05/x
  3. Step 3: Cross multiply
    438,447.74x = 657,597.49 × 122,832.05
  4. Step 4: Simplify right side
    438,447.74x = 80,774,044,176.49
  5. Step 5: Solve for x
    x = 80,774,044,176.49/438,447.74
  6. Step 6: Final answer
    x = 184,227.30

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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.