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Finding the Fourth Proportional to 297,684.24, 410,807.07 and 161,719.20

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Solution

The fourth proportional to 297,684.24, 410,807.07 and 161,719.20 is: 223,174.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,684.24 : 410,807.07 = 161,719.20 : x
  2. Step 2: Convert to fraction form
    297,684.24/410,807.07 = 161,719.20/x
  3. Step 3: Cross multiply
    297,684.24x = 410,807.07 × 161,719.20
  4. Step 4: Simplify right side
    297,684.24x = 66,435,390,714.74
  5. Step 5: Solve for x
    x = 66,435,390,714.74/297,684.24
  6. Step 6: Final answer
    x = 223,174.03

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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.