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Finding the Fourth Proportional to 400,242.06, 600,363.09 and 189,765.18

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Solution

The fourth proportional to 400,242.06, 600,363.09 and 189,765.18 is: 284,647.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,242.06 : 600,363.09 = 189,765.18 : x
  2. Step 2: Convert to fraction form
    400,242.06/600,363.09 = 189,765.18/x
  3. Step 3: Cross multiply
    400,242.06x = 600,363.09 × 189,765.18
  4. Step 4: Simplify right side
    400,242.06x = 113,928,009,839.21
  5. Step 5: Solve for x
    x = 113,928,009,839.21/400,242.06
  6. Step 6: Final answer
    x = 284,647.77

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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.