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Finding the Fourth Proportional to 363,905.10, 546,052.05 and 164,256.30

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Solution

The fourth proportional to 363,905.10, 546,052.05 and 164,256.30 is: 246,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,905.10 : 546,052.05 = 164,256.30 : x
  2. Step 2: Convert to fraction form
    363,905.10/546,052.05 = 164,256.30/x
  3. Step 3: Cross multiply
    363,905.10x = 546,052.05 × 164,256.30
  4. Step 4: Simplify right side
    363,905.10x = 89,692,489,340.42
  5. Step 5: Solve for x
    x = 89,692,489,340.42/363,905.10
  6. Step 6: Final answer
    x = 246,472.20

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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.