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Finding the Fourth Proportional to 471,667.44, 651,333.51 and 299,640.72

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Solution

The fourth proportional to 471,667.44, 651,333.51 and 299,640.72 is: 413,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,667.44 : 651,333.51 = 299,640.72 : x
  2. Step 2: Convert to fraction form
    471,667.44/651,333.51 = 299,640.72/x
  3. Step 3: Cross multiply
    471,667.44x = 651,333.51 × 299,640.72
  4. Step 4: Simplify right side
    471,667.44x = 195,166,041,896.53
  5. Step 5: Solve for x
    x = 195,166,041,896.53/471,667.44
  6. Step 6: Final answer
    x = 413,778.92

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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.