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Finding the Fourth Proportional to 571,083.64, 856,022.67 and 191,644.61

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Solution

The fourth proportional to 571,083.64, 856,022.67 and 191,644.61 is: 287,264.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,083.64 : 856,022.67 = 191,644.61 : x
  2. Step 2: Convert to fraction form
    571,083.64/856,022.67 = 191,644.61/x
  3. Step 3: Cross multiply
    571,083.64x = 856,022.67 × 191,644.61
  4. Step 4: Simplify right side
    571,083.64x = 164,052,130,743.31
  5. Step 5: Solve for x
    x = 164,052,130,743.31/571,083.64
  6. Step 6: Final answer
    x = 287,264.63

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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.