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Finding the Fourth Proportional to 343,408.70, 515,113.05 and 156,784.70

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Solution

The fourth proportional to 343,408.70, 515,113.05 and 156,784.70 is: 235,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,408.70 : 515,113.05 = 156,784.70 : x
  2. Step 2: Convert to fraction form
    343,408.70/515,113.05 = 156,784.70/x
  3. Step 3: Cross multiply
    343,408.70x = 515,113.05 × 156,784.70
  4. Step 4: Simplify right side
    343,408.70x = 80,761,845,010.34
  5. Step 5: Solve for x
    x = 80,761,845,010.34/343,408.70
  6. Step 6: Final answer
    x = 235,177.05

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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.