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Finding the Fourth Proportional to 416,299.83, 574,493.73 and 225,313.22

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Solution

The fourth proportional to 416,299.83, 574,493.73 and 225,313.22 is: 310,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,299.83 : 574,493.73 = 225,313.22 : x
  2. Step 2: Convert to fraction form
    416,299.83/574,493.73 = 225,313.22/x
  3. Step 3: Cross multiply
    416,299.83x = 574,493.73 × 225,313.22
  4. Step 4: Simplify right side
    416,299.83x = 129,441,029,303.64
  5. Step 5: Solve for x
    x = 129,441,029,303.64/416,299.83
  6. Step 6: Final answer
    x = 310,932.22

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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.