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Finding the Fourth Proportional to 469,207.32, 703,812.22 and 114,220.76

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Solution

The fourth proportional to 469,207.32, 703,812.22 and 114,220.76 is: 171,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,207.32 : 703,812.22 = 114,220.76 : x
  2. Step 2: Convert to fraction form
    469,207.32/703,812.22 = 114,220.76/x
  3. Step 3: Cross multiply
    469,207.32x = 703,812.22 × 114,220.76
  4. Step 4: Simplify right side
    469,207.32x = 80,389,966,665.69
  5. Step 5: Solve for x
    x = 80,389,966,665.69/469,207.32
  6. Step 6: Final answer
    x = 171,331.44

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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.