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Finding the Fourth Proportional to 347,801.40, 521,702.10 and 161,177.40

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Solution

The fourth proportional to 347,801.40, 521,702.10 and 161,177.40 is: 241,766.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,801.40 : 521,702.10 = 161,177.40 : x
  2. Step 2: Convert to fraction form
    347,801.40/521,702.10 = 161,177.40/x
  3. Step 3: Cross multiply
    347,801.40x = 521,702.10 × 161,177.40
  4. Step 4: Simplify right side
    347,801.40x = 84,086,588,052.54
  5. Step 5: Solve for x
    x = 84,086,588,052.54/347,801.40
  6. Step 6: Final answer
    x = 241,766.10

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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.