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Finding the Fourth Proportional to 416,574.56, 574,873.24 and 225,588.16

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Solution

The fourth proportional to 416,574.56, 574,873.24 and 225,588.16 is: 311,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,574.56 : 574,873.24 = 225,588.16 : x
  2. Step 2: Convert to fraction form
    416,574.56/574,873.24 = 225,588.16/x
  3. Step 3: Cross multiply
    416,574.56x = 574,873.24 × 225,588.16
  4. Step 4: Simplify right side
    416,574.56x = 129,684,596,444.84
  5. Step 5: Solve for x
    x = 129,684,596,444.84/416,574.56
  6. Step 6: Final answer
    x = 311,311.85

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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.