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Finding the Fourth Proportional to 231,848.96, 347,793.60 and 65,638.40

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Solution

The fourth proportional to 231,848.96, 347,793.60 and 65,638.40 is: 98,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,848.96 : 347,793.60 = 65,638.40 : x
  2. Step 2: Convert to fraction form
    231,848.96/347,793.60 = 65,638.40/x
  3. Step 3: Cross multiply
    231,848.96x = 347,793.60 × 65,638.40
  4. Step 4: Simplify right side
    231,848.96x = 22,828,615,434.24
  5. Step 5: Solve for x
    x = 22,828,615,434.24/231,848.96
  6. Step 6: Final answer
    x = 98,463.31

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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.