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Finding the Fourth Proportional to 561,983.81, 842,581.44 and 206,952.30

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Solution

The fourth proportional to 561,983.81, 842,581.44 and 206,952.30 is: 310,283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,983.81 : 842,581.44 = 206,952.30 : x
  2. Step 2: Convert to fraction form
    561,983.81/842,581.44 = 206,952.30/x
  3. Step 3: Cross multiply
    561,983.81x = 842,581.44 × 206,952.30
  4. Step 4: Simplify right side
    561,983.81x = 174,374,166,945.31
  5. Step 5: Solve for x
    x = 174,374,166,945.31/561,983.81
  6. Step 6: Final answer
    x = 310,283.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.