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Finding the Fourth Proportional to 416,591.94, 574,896 and 225,604.74

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Solution

The fourth proportional to 416,591.94, 574,896 and 225,604.74 is: 311,334.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,591.94 : 574,896 = 225,604.74 : x
  2. Step 2: Convert to fraction form
    416,591.94/574,896 = 225,604.74/x
  3. Step 3: Cross multiply
    416,591.94x = 574,896 × 225,604.74
  4. Step 4: Simplify right side
    416,591.94x = 129,699,262,607.04
  5. Step 5: Solve for x
    x = 129,699,262,607.04/416,591.94
  6. Step 6: Final answer
    x = 311,334.07

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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.