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Finding the Fourth Proportional to 575,116.44, 862,262.10 and 219,831

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Solution

The fourth proportional to 575,116.44, 862,262.10 and 219,831 is: 329,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,116.44 : 862,262.10 = 219,831 : x
  2. Step 2: Convert to fraction form
    575,116.44/862,262.10 = 219,831/x
  3. Step 3: Cross multiply
    575,116.44x = 862,262.10 × 219,831
  4. Step 4: Simplify right side
    575,116.44x = 189,551,939,705.10
  5. Step 5: Solve for x
    x = 189,551,939,705.10/575,116.44
  6. Step 6: Final answer
    x = 329,588.80

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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.