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Finding the Fourth Proportional to 416,437.42, 574,683.84 and 225,450.82

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Solution

The fourth proportional to 416,437.42, 574,683.84 and 225,450.82 is: 311,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,437.42 : 574,683.84 = 225,450.82 : x
  2. Step 2: Convert to fraction form
    416,437.42/574,683.84 = 225,450.82/x
  3. Step 3: Cross multiply
    416,437.42x = 574,683.84 × 225,450.82
  4. Step 4: Simplify right side
    416,437.42x = 129,562,942,968.75
  5. Step 5: Solve for x
    x = 129,562,942,968.75/416,437.42
  6. Step 6: Final answer
    x = 311,122.24

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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.