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Finding the Fourth Proportional to 428,438.39, 591,222.20 and 247,139.49

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Solution

The fourth proportional to 428,438.39, 591,222.20 and 247,139.49 is: 341,039.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,438.39 : 591,222.20 = 247,139.49 : x
  2. Step 2: Convert to fraction form
    428,438.39/591,222.20 = 247,139.49/x
  3. Step 3: Cross multiply
    428,438.39x = 591,222.20 × 247,139.49
  4. Step 4: Simplify right side
    428,438.39x = 146,114,351,748.98
  5. Step 5: Solve for x
    x = 146,114,351,748.98/428,438.39
  6. Step 6: Final answer
    x = 341,039.36

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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.