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Finding the Fourth Proportional to 400,714.79, 601,293.52 and 223,321.76

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Solution

The fourth proportional to 400,714.79, 601,293.52 and 223,321.76 is: 335,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,714.79 : 601,293.52 = 223,321.76 : x
  2. Step 2: Convert to fraction form
    400,714.79/601,293.52 = 223,321.76/x
  3. Step 3: Cross multiply
    400,714.79x = 601,293.52 × 223,321.76
  4. Step 4: Simplify right side
    400,714.79x = 134,281,924,156.53
  5. Step 5: Solve for x
    x = 134,281,924,156.53/400,714.79
  6. Step 6: Final answer
    x = 335,105.98

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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.