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Finding the Fourth Proportional to 468,703.64, 703,031.96 and 165,112.85

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Solution

The fourth proportional to 468,703.64, 703,031.96 and 165,112.85 is: 247,661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,703.64 : 703,031.96 = 165,112.85 : x
  2. Step 2: Convert to fraction form
    468,703.64/703,031.96 = 165,112.85/x
  3. Step 3: Cross multiply
    468,703.64x = 703,031.96 × 165,112.85
  4. Step 4: Simplify right side
    468,703.64x = 116,079,612,727.05
  5. Step 5: Solve for x
    x = 116,079,612,727.05/468,703.64
  6. Step 6: Final answer
    x = 247,661.00

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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.