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Finding the Fourth Proportional to 469,504.25, 647,930.53 and 265,551.18

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Solution

The fourth proportional to 469,504.25, 647,930.53 and 265,551.18 is: 366,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,504.25 : 647,930.53 = 265,551.18 : x
  2. Step 2: Convert to fraction form
    469,504.25/647,930.53 = 265,551.18/x
  3. Step 3: Cross multiply
    469,504.25x = 647,930.53 × 265,551.18
  4. Step 4: Simplify right side
    469,504.25x = 172,058,715,695.02
  5. Step 5: Solve for x
    x = 172,058,715,695.02/469,504.25
  6. Step 6: Final answer
    x = 366,468.92

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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.