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Finding the Fourth Proportional to 347,976.58, 522,016.72 and 161,006.98

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Solution

The fourth proportional to 347,976.58, 522,016.72 and 161,006.98 is: 241,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,976.58 : 522,016.72 = 161,006.98 : x
  2. Step 2: Convert to fraction form
    347,976.58/522,016.72 = 161,006.98/x
  3. Step 3: Cross multiply
    347,976.58x = 522,016.72 × 161,006.98
  4. Step 4: Simplify right side
    347,976.58x = 84,048,335,596.71
  5. Step 5: Solve for x
    x = 84,048,335,596.71/347,976.58
  6. Step 6: Final answer
    x = 241,534.46

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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.