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Finding the Fourth Proportional to 427,701.40, 590,206.89 and 243,947.23

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Solution

The fourth proportional to 427,701.40, 590,206.89 and 243,947.23 is: 336,635.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,701.40 : 590,206.89 = 243,947.23 : x
  2. Step 2: Convert to fraction form
    427,701.40/590,206.89 = 243,947.23/x
  3. Step 3: Cross multiply
    427,701.40x = 590,206.89 × 243,947.23
  4. Step 4: Simplify right side
    427,701.40x = 143,979,332,991.38
  5. Step 5: Solve for x
    x = 143,979,332,991.38/427,701.40
  6. Step 6: Final answer
    x = 336,635.17

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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.