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Finding the Fourth Proportional to 469,394.82, 703,811.01 and 149,408.46

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Solution

The fourth proportional to 469,394.82, 703,811.01 and 149,408.46 is: 224,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,394.82 : 703,811.01 = 149,408.46 : x
  2. Step 2: Convert to fraction form
    469,394.82/703,811.01 = 149,408.46/x
  3. Step 3: Cross multiply
    469,394.82x = 703,811.01 × 149,408.46
  4. Step 4: Simplify right side
    469,394.82x = 105,155,319,135.15
  5. Step 5: Solve for x
    x = 105,155,319,135.15/469,394.82
  6. Step 6: Final answer
    x = 224,023.18

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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.