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Finding the Fourth Proportional to 407,222.34, 561,947.79 and 225,932.34

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Solution

The fourth proportional to 407,222.34, 561,947.79 and 225,932.34 is: 311,776.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,222.34 : 561,947.79 = 225,932.34 : x
  2. Step 2: Convert to fraction form
    407,222.34/561,947.79 = 225,932.34/x
  3. Step 3: Cross multiply
    407,222.34x = 561,947.79 × 225,932.34
  4. Step 4: Simplify right side
    407,222.34x = 126,962,179,152.53
  5. Step 5: Solve for x
    x = 126,962,179,152.53/407,222.34
  6. Step 6: Final answer
    x = 311,776.07

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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.