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Finding the Fourth Proportional to 428,524.86, 591,327.14 and 244,762.50

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Solution

The fourth proportional to 428,524.86, 591,327.14 and 244,762.50 is: 337,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,524.86 : 591,327.14 = 244,762.50 : x
  2. Step 2: Convert to fraction form
    428,524.86/591,327.14 = 244,762.50/x
  3. Step 3: Cross multiply
    428,524.86x = 591,327.14 × 244,762.50
  4. Step 4: Simplify right side
    428,524.86x = 144,734,709,104.25
  5. Step 5: Solve for x
    x = 144,734,709,104.25/428,524.86
  6. Step 6: Final answer
    x = 337,751.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.