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Finding the Fourth Proportional to 713,889.41, 1,070,151.48 and 264,489.66

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Solution

The fourth proportional to 713,889.41, 1,070,151.48 and 264,489.66 is: 396,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,889.41 : 1,070,151.48 = 264,489.66 : x
  2. Step 2: Convert to fraction form
    713,889.41/1,070,151.48 = 264,489.66/x
  3. Step 3: Cross multiply
    713,889.41x = 1,070,151.48 × 264,489.66
  4. Step 4: Simplify right side
    713,889.41x = 283,044,001,093.70
  5. Step 5: Solve for x
    x = 283,044,001,093.70/713,889.41
  6. Step 6: Final answer
    x = 396,481.58

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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.