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Finding the Fourth Proportional to 417,626, 576,324.29 and 226,639.43

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Solution

The fourth proportional to 417,626, 576,324.29 and 226,639.43 is: 312,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,626 : 576,324.29 = 226,639.43 : x
  2. Step 2: Convert to fraction form
    417,626/576,324.29 = 226,639.43/x
  3. Step 3: Cross multiply
    417,626x = 576,324.29 × 226,639.43
  4. Step 4: Simplify right side
    417,626x = 130,617,808,580.76
  5. Step 5: Solve for x
    x = 130,617,808,580.76/417,626
  6. Step 6: Final answer
    x = 312,762.64

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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.