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Finding the Fourth Proportional to 511,789.72, 706,271.04 and 285,449.80

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Solution

The fourth proportional to 511,789.72, 706,271.04 and 285,449.80 is: 393,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,789.72 : 706,271.04 = 285,449.80 : x
  2. Step 2: Convert to fraction form
    511,789.72/706,271.04 = 285,449.80/x
  3. Step 3: Cross multiply
    511,789.72x = 706,271.04 × 285,449.80
  4. Step 4: Simplify right side
    511,789.72x = 201,604,927,113.79
  5. Step 5: Solve for x
    x = 201,604,927,113.79/511,789.72
  6. Step 6: Final answer
    x = 393,921.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.