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Finding the Fourth Proportional to 460,209.28, 634,883.84 and 269,138.38

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Solution

The fourth proportional to 460,209.28, 634,883.84 and 269,138.38 is: 371,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,209.28 : 634,883.84 = 269,138.38 : x
  2. Step 2: Convert to fraction form
    460,209.28/634,883.84 = 269,138.38/x
  3. Step 3: Cross multiply
    460,209.28x = 634,883.84 × 269,138.38
  4. Step 4: Simplify right side
    460,209.28x = 170,871,608,185.78
  5. Step 5: Solve for x
    x = 170,871,608,185.78/460,209.28
  6. Step 6: Final answer
    x = 371,291.10

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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.