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Finding the Fourth Proportional to 461,714.70, 693,133.65 and 293,234.70

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Solution

The fourth proportional to 461,714.70, 693,133.65 and 293,234.70 is: 440,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,714.70 : 693,133.65 = 293,234.70 : x
  2. Step 2: Convert to fraction form
    461,714.70/693,133.65 = 293,234.70/x
  3. Step 3: Cross multiply
    461,714.70x = 693,133.65 × 293,234.70
  4. Step 4: Simplify right side
    461,714.70x = 203,250,837,917.66
  5. Step 5: Solve for x
    x = 203,250,837,917.66/461,714.70
  6. Step 6: Final answer
    x = 440,208.72

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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.