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Finding the Fourth Proportional to 511,509.77, 705,867.29 and 282,076.73

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Solution

The fourth proportional to 511,509.77, 705,867.29 and 282,076.73 is: 389,256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,509.77 : 705,867.29 = 282,076.73 : x
  2. Step 2: Convert to fraction form
    511,509.77/705,867.29 = 282,076.73/x
  3. Step 3: Cross multiply
    511,509.77x = 705,867.29 × 282,076.73
  4. Step 4: Simplify right side
    511,509.77x = 199,108,733,447.83
  5. Step 5: Solve for x
    x = 199,108,733,447.83/511,509.77
  6. Step 6: Final answer
    x = 389,256.95

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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.