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Finding the Fourth Proportional to 579,714.30, 869,722.65 and 224,739.90

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Solution

The fourth proportional to 579,714.30, 869,722.65 and 224,739.90 is: 337,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,714.30 : 869,722.65 = 224,739.90 : x
  2. Step 2: Convert to fraction form
    579,714.30/869,722.65 = 224,739.90/x
  3. Step 3: Cross multiply
    579,714.30x = 869,722.65 × 224,739.90
  4. Step 4: Simplify right side
    579,714.30x = 195,461,381,388.74
  5. Step 5: Solve for x
    x = 195,461,381,388.74/579,714.30
  6. Step 6: Final answer
    x = 337,168.47

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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.