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Finding the Fourth Proportional to 297,633.90, 410,737.86 and 161,670.48

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Solution

The fourth proportional to 297,633.90, 410,737.86 and 161,670.48 is: 223,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,633.90 : 410,737.86 = 161,670.48 : x
  2. Step 2: Convert to fraction form
    297,633.90/410,737.86 = 161,670.48/x
  3. Step 3: Cross multiply
    297,633.90x = 410,737.86 × 161,670.48
  4. Step 4: Simplify right side
    297,633.90x = 66,404,186,980.37
  5. Step 5: Solve for x
    x = 66,404,186,980.37/297,633.90
  6. Step 6: Final answer
    x = 223,106.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.