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Finding the Fourth Proportional to 461,050.82, 636,252.91 and 257,114.63

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Solution

The fourth proportional to 461,050.82, 636,252.91 and 257,114.63 is: 354,819.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,050.82 : 636,252.91 = 257,114.63 : x
  2. Step 2: Convert to fraction form
    461,050.82/636,252.91 = 257,114.63/x
  3. Step 3: Cross multiply
    461,050.82x = 636,252.91 × 257,114.63
  4. Step 4: Simplify right side
    461,050.82x = 163,589,934,097.21
  5. Step 5: Solve for x
    x = 163,589,934,097.21/461,050.82
  6. Step 6: Final answer
    x = 354,819.74

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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.