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Finding the Fourth Proportional to 417,698.52, 576,424.52 and 226,711.84

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Solution

The fourth proportional to 417,698.52, 576,424.52 and 226,711.84 is: 312,862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,698.52 : 576,424.52 = 226,711.84 : x
  2. Step 2: Convert to fraction form
    417,698.52/576,424.52 = 226,711.84/x
  3. Step 3: Cross multiply
    417,698.52x = 576,424.52 × 226,711.84
  4. Step 4: Simplify right side
    417,698.52x = 130,682,263,550.32
  5. Step 5: Solve for x
    x = 130,682,263,550.32/417,698.52
  6. Step 6: Final answer
    x = 312,862.64

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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.