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Finding the Fourth Proportional to 297,706.28, 410,733.06 and 184,487.72

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Solution

The fourth proportional to 297,706.28, 410,733.06 and 184,487.72 is: 254,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,706.28 : 410,733.06 = 184,487.72 : x
  2. Step 2: Convert to fraction form
    297,706.28/410,733.06 = 184,487.72/x
  3. Step 3: Cross multiply
    297,706.28x = 410,733.06 × 184,487.72
  4. Step 4: Simplify right side
    297,706.28x = 75,775,205,768.02
  5. Step 5: Solve for x
    x = 75,775,205,768.02/297,706.28
  6. Step 6: Final answer
    x = 254,530.09

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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.