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Finding the Fourth Proportional to 460,227.42, 635,118.57 and 269,203.50

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Solution

The fourth proportional to 460,227.42, 635,118.57 and 269,203.50 is: 371,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,227.42 : 635,118.57 = 269,203.50 : x
  2. Step 2: Convert to fraction form
    460,227.42/635,118.57 = 269,203.50/x
  3. Step 3: Cross multiply
    460,227.42x = 635,118.57 × 269,203.50
  4. Step 4: Simplify right side
    460,227.42x = 170,976,141,959.00
  5. Step 5: Solve for x
    x = 170,976,141,959.00/460,227.42
  6. Step 6: Final answer
    x = 371,503.60

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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.