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Finding the Fourth Proportional to 588,714.75, 883,093.59 and 209,663.37

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Solution

The fourth proportional to 588,714.75, 883,093.59 and 209,663.37 is: 314,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,714.75 : 883,093.59 = 209,663.37 : x
  2. Step 2: Convert to fraction form
    588,714.75/883,093.59 = 209,663.37/x
  3. Step 3: Cross multiply
    588,714.75x = 883,093.59 × 209,663.37
  4. Step 4: Simplify right side
    588,714.75x = 185,152,378,104.80
  5. Step 5: Solve for x
    x = 185,152,378,104.80/588,714.75
  6. Step 6: Final answer
    x = 314,502.70

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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.