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Finding the Fourth Proportional to 417,711.40, 576,442.20 and 226,724.80

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Solution

The fourth proportional to 417,711.40, 576,442.20 and 226,724.80 is: 312,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,711.40 : 576,442.20 = 226,724.80 : x
  2. Step 2: Convert to fraction form
    417,711.40/576,442.20 = 226,724.80/x
  3. Step 3: Cross multiply
    417,711.40x = 576,442.20 × 226,724.80
  4. Step 4: Simplify right side
    417,711.40x = 130,693,742,506.56
  5. Step 5: Solve for x
    x = 130,693,742,506.56/417,711.40
  6. Step 6: Final answer
    x = 312,880.48

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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.