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Finding the Fourth Proportional to 570,906.46, 856,326.81 and 171,538.78

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Solution

The fourth proportional to 570,906.46, 856,326.81 and 171,538.78 is: 257,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,906.46 : 856,326.81 = 171,538.78 : x
  2. Step 2: Convert to fraction form
    570,906.46/856,326.81 = 171,538.78/x
  3. Step 3: Cross multiply
    570,906.46x = 856,326.81 × 171,538.78
  4. Step 4: Simplify right side
    570,906.46x = 146,893,256,268.69
  5. Step 5: Solve for x
    x = 146,893,256,268.69/570,906.46
  6. Step 6: Final answer
    x = 257,298.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.