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Finding the Fourth Proportional to 262,389.13, 362,300.42 and 204,928.13

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Solution

The fourth proportional to 262,389.13, 362,300.42 and 204,928.13 is: 282,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,389.13 : 362,300.42 = 204,928.13 : x
  2. Step 2: Convert to fraction form
    262,389.13/362,300.42 = 204,928.13/x
  3. Step 3: Cross multiply
    262,389.13x = 362,300.42 × 204,928.13
  4. Step 4: Simplify right side
    262,389.13x = 74,245,548,986.89
  5. Step 5: Solve for x
    x = 74,245,548,986.89/262,389.13
  6. Step 6: Final answer
    x = 282,959.70

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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.