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Finding the Fourth Proportional to 461,081.58, 636,295.38 and 257,145.48

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Solution

The fourth proportional to 461,081.58, 636,295.38 and 257,145.48 is: 354,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,081.58 : 636,295.38 = 257,145.48 : x
  2. Step 2: Convert to fraction form
    461,081.58/636,295.38 = 257,145.48/x
  3. Step 3: Cross multiply
    461,081.58x = 636,295.38 × 257,145.48
  4. Step 4: Simplify right side
    461,081.58x = 163,620,480,911.88
  5. Step 5: Solve for x
    x = 163,620,480,911.88/461,081.58
  6. Step 6: Final answer
    x = 354,862.32

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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.