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Finding the Fourth Proportional to 461,032.56, 636,143.22 and 257,067.27

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Solution

The fourth proportional to 461,032.56, 636,143.22 and 257,067.27 is: 354,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,032.56 : 636,143.22 = 257,067.27 : x
  2. Step 2: Convert to fraction form
    461,032.56/636,143.22 = 257,067.27/x
  3. Step 3: Cross multiply
    461,032.56x = 636,143.22 × 257,067.27
  4. Step 4: Simplify right side
    461,032.56x = 163,531,600,894.41
  5. Step 5: Solve for x
    x = 163,531,600,894.41/461,032.56
  6. Step 6: Final answer
    x = 354,707.27

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1.5x scale

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.