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Finding the Fourth Proportional to 416,723.46, 575,076.47 and 225,737.34

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Solution

The fourth proportional to 416,723.46, 575,076.47 and 225,737.34 is: 311,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,723.46 : 575,076.47 = 225,737.34 : x
  2. Step 2: Convert to fraction form
    416,723.46/575,076.47 = 225,737.34/x
  3. Step 3: Cross multiply
    416,723.46x = 575,076.47 × 225,737.34
  4. Step 4: Simplify right side
    416,723.46x = 129,816,232,634.39
  5. Step 5: Solve for x
    x = 129,816,232,634.39/416,723.46
  6. Step 6: Final answer
    x = 311,516.50

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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.