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Finding the Fourth Proportional to 297,129.72, 410,014.64 and 162,993.72

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Solution

The fourth proportional to 297,129.72, 410,014.64 and 162,993.72 is: 224,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,129.72 : 410,014.64 = 162,993.72 : x
  2. Step 2: Convert to fraction form
    297,129.72/410,014.64 = 162,993.72/x
  3. Step 3: Cross multiply
    297,129.72x = 410,014.64 × 162,993.72
  4. Step 4: Simplify right side
    297,129.72x = 66,829,811,428.06
  5. Step 5: Solve for x
    x = 66,829,811,428.06/297,129.72
  6. Step 6: Final answer
    x = 224,917.96

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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.