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Finding the Fourth Proportional to 417,543.80, 576,202.89 and 254,141.12

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Solution

The fourth proportional to 417,543.80, 576,202.89 and 254,141.12 is: 350,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,543.80 : 576,202.89 = 254,141.12 : x
  2. Step 2: Convert to fraction form
    417,543.80/576,202.89 = 254,141.12/x
  3. Step 3: Cross multiply
    417,543.80x = 576,202.89 × 254,141.12
  4. Step 4: Simplify right side
    417,543.80x = 146,436,847,811.84
  5. Step 5: Solve for x
    x = 146,436,847,811.84/417,543.80
  6. Step 6: Final answer
    x = 350,710.15

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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.