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Finding the Fourth Proportional to 417,710.72, 576,441.38 and 226,724.15

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Solution

The fourth proportional to 417,710.72, 576,441.38 and 226,724.15 is: 312,879.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,710.72 : 576,441.38 = 226,724.15 : x
  2. Step 2: Convert to fraction form
    417,710.72/576,441.38 = 226,724.15/x
  3. Step 3: Cross multiply
    417,710.72x = 576,441.38 × 226,724.15
  4. Step 4: Simplify right side
    417,710.72x = 130,693,180,771.71
  5. Step 5: Solve for x
    x = 130,693,180,771.71/417,710.72
  6. Step 6: Final answer
    x = 312,879.64

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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.