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Finding the Fourth Proportional to 417,711.22, 576,442.07 and 226,724.65

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Solution

The fourth proportional to 417,711.22, 576,442.07 and 226,724.65 is: 312,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,711.22 : 576,442.07 = 226,724.65 : x
  2. Step 2: Convert to fraction form
    417,711.22/576,442.07 = 226,724.65/x
  3. Step 3: Cross multiply
    417,711.22x = 576,442.07 × 226,724.65
  4. Step 4: Simplify right side
    417,711.22x = 130,693,626,566.03
  5. Step 5: Solve for x
    x = 130,693,626,566.03/417,711.22
  6. Step 6: Final answer
    x = 312,880.34

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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.