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Finding the Fourth Proportional to 405,199.79, 559,209.38 and 223,947.11

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Solution

The fourth proportional to 405,199.79, 559,209.38 and 223,947.11 is: 309,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,199.79 : 559,209.38 = 223,947.11 : x
  2. Step 2: Convert to fraction form
    405,199.79/559,209.38 = 223,947.11/x
  3. Step 3: Cross multiply
    405,199.79x = 559,209.38 × 223,947.11
  4. Step 4: Simplify right side
    405,199.79x = 125,233,320,620.11
  5. Step 5: Solve for x
    x = 125,233,320,620.11/405,199.79
  6. Step 6: Final answer
    x = 309,065.61

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1.5x scale

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.