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Finding the Fourth Proportional to 569,714.70, 854,037.45 and 214,967.10

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Solution

The fourth proportional to 569,714.70, 854,037.45 and 214,967.10 is: 322,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,714.70 : 854,037.45 = 214,967.10 : x
  2. Step 2: Convert to fraction form
    569,714.70/854,037.45 = 214,967.10/x
  3. Step 3: Cross multiply
    569,714.70x = 854,037.45 × 214,967.10
  4. Step 4: Simplify right side
    569,714.70x = 183,589,953,917.90
  5. Step 5: Solve for x
    x = 183,589,953,917.90/569,714.70
  6. Step 6: Final answer
    x = 322,248.93

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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.