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Finding the Fourth Proportional to 438,074.52, 657,012.68 and 201,189.48

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Solution

The fourth proportional to 438,074.52, 657,012.68 and 201,189.48 is: 301,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,074.52 : 657,012.68 = 201,189.48 : x
  2. Step 2: Convert to fraction form
    438,074.52/657,012.68 = 201,189.48/x
  3. Step 3: Cross multiply
    438,074.52x = 657,012.68 × 201,189.48
  4. Step 4: Simplify right side
    438,074.52x = 132,184,039,442.61
  5. Step 5: Solve for x
    x = 132,184,039,442.61/438,074.52
  6. Step 6: Final answer
    x = 301,738.71

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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.