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Finding the Fourth Proportional to 461,416.91, 636,753.25 and 257,455.92

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Solution

The fourth proportional to 461,416.91, 636,753.25 and 257,455.92 is: 355,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,416.91 : 636,753.25 = 257,455.92 : x
  2. Step 2: Convert to fraction form
    461,416.91/636,753.25 = 257,455.92/x
  3. Step 3: Cross multiply
    461,416.91x = 636,753.25 × 257,455.92
  4. Step 4: Simplify right side
    461,416.91x = 163,935,892,919.65
  5. Step 5: Solve for x
    x = 163,935,892,919.65/461,416.91
  6. Step 6: Final answer
    x = 355,288.01

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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.