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Finding the Fourth Proportional to 466,633.70, 700,080.15 and 200,521.70

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Solution

The fourth proportional to 466,633.70, 700,080.15 and 200,521.70 is: 300,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,633.70 : 700,080.15 = 200,521.70 : x
  2. Step 2: Convert to fraction form
    466,633.70/700,080.15 = 200,521.70/x
  3. Step 3: Cross multiply
    466,633.70x = 700,080.15 × 200,521.70
  4. Step 4: Simplify right side
    466,633.70x = 140,381,261,814.26
  5. Step 5: Solve for x
    x = 140,381,261,814.26/466,633.70
  6. Step 6: Final answer
    x = 300,838.24

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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.