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Finding the Fourth Proportional to 565,714.20, 848,571.30 and 488,731.80

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Solution

The fourth proportional to 565,714.20, 848,571.30 and 488,731.80 is: 733,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,714.20 : 848,571.30 = 488,731.80 : x
  2. Step 2: Convert to fraction form
    565,714.20/848,571.30 = 488,731.80/x
  3. Step 3: Cross multiply
    565,714.20x = 848,571.30 × 488,731.80
  4. Step 4: Simplify right side
    565,714.20x = 414,723,778,877.34
  5. Step 5: Solve for x
    x = 414,723,778,877.34/565,714.20
  6. Step 6: Final answer
    x = 733,097.70

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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.