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Finding the Fourth Proportional to 347,063.44, 520,463.76 and 189,205.96

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Solution

The fourth proportional to 347,063.44, 520,463.76 and 189,205.96 is: 283,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,063.44 : 520,463.76 = 189,205.96 : x
  2. Step 2: Convert to fraction form
    347,063.44/520,463.76 = 189,205.96/x
  3. Step 3: Cross multiply
    347,063.44x = 520,463.76 × 189,205.96
  4. Step 4: Simplify right side
    347,063.44x = 98,474,845,356.01
  5. Step 5: Solve for x
    x = 98,474,845,356.01/347,063.44
  6. Step 6: Final answer
    x = 283,737.31

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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.