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Finding the Fourth Proportional to 469,002.40, 703,498.50 and 114,016.79

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Solution

The fourth proportional to 469,002.40, 703,498.50 and 114,016.79 is: 171,023.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,002.40 : 703,498.50 = 114,016.79 : x
  2. Step 2: Convert to fraction form
    469,002.40/703,498.50 = 114,016.79/x
  3. Step 3: Cross multiply
    469,002.40x = 703,498.50 × 114,016.79
  4. Step 4: Simplify right side
    469,002.40x = 80,210,642,498.56
  5. Step 5: Solve for x
    x = 80,210,642,498.56/469,002.40
  6. Step 6: Final answer
    x = 171,023.95

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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.