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Finding the Fourth Proportional to 469,904.58, 648,468.91 and 255,044.65

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Solution

The fourth proportional to 469,904.58, 648,468.91 and 255,044.65 is: 351,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,904.58 : 648,468.91 = 255,044.65 : x
  2. Step 2: Convert to fraction form
    469,904.58/648,468.91 = 255,044.65/x
  3. Step 3: Cross multiply
    469,904.58x = 648,468.91 × 255,044.65
  4. Step 4: Simplify right side
    469,904.58x = 165,388,526,186.83
  5. Step 5: Solve for x
    x = 165,388,526,186.83/469,904.58
  6. Step 6: Final answer
    x = 351,961.94

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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.