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Finding the Fourth Proportional to 417,197.58, 575,727.08 and 226,206.86

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Solution

The fourth proportional to 417,197.58, 575,727.08 and 226,206.86 is: 312,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,197.58 : 575,727.08 = 226,206.86 : x
  2. Step 2: Convert to fraction form
    417,197.58/575,727.08 = 226,206.86/x
  3. Step 3: Cross multiply
    417,197.58x = 575,727.08 × 226,206.86
  4. Step 4: Simplify right side
    417,197.58x = 130,233,414,983.77
  5. Step 5: Solve for x
    x = 130,233,414,983.77/417,197.58
  6. Step 6: Final answer
    x = 312,162.44

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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.