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Finding the Fourth Proportional to 469,723.19, 703,677.92 and 280,334.79

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Solution

The fourth proportional to 469,723.19, 703,677.92 and 280,334.79 is: 419,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,723.19 : 703,677.92 = 280,334.79 : x
  2. Step 2: Convert to fraction form
    469,723.19/703,677.92 = 280,334.79/x
  3. Step 3: Cross multiply
    469,723.19x = 703,677.92 × 280,334.79
  4. Step 4: Simplify right side
    469,723.19x = 197,265,400,529.16
  5. Step 5: Solve for x
    x = 197,265,400,529.16/469,723.19
  6. Step 6: Final answer
    x = 419,960.96

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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.