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Finding the Fourth Proportional to 469,906.94, 648,464.58 and 265,996.53

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Solution

The fourth proportional to 469,906.94, 648,464.58 and 265,996.53 is: 367,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,906.94 : 648,464.58 = 265,996.53 : x
  2. Step 2: Convert to fraction form
    469,906.94/648,464.58 = 265,996.53/x
  3. Step 3: Cross multiply
    469,906.94x = 648,464.58 × 265,996.53
  4. Step 4: Simplify right side
    469,906.94x = 172,489,328,107.91
  5. Step 5: Solve for x
    x = 172,489,328,107.91/469,906.94
  6. Step 6: Final answer
    x = 367,071.25

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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.