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Finding the Fourth Proportional to 417,764.34, 576,515.52 and 226,777.86

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Solution

The fourth proportional to 417,764.34, 576,515.52 and 226,777.86 is: 312,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,764.34 : 576,515.52 = 226,777.86 : x
  2. Step 2: Convert to fraction form
    417,764.34/576,515.52 = 226,777.86/x
  3. Step 3: Cross multiply
    417,764.34x = 576,515.52 × 226,777.86
  4. Step 4: Simplify right side
    417,764.34x = 130,740,955,882.39
  5. Step 5: Solve for x
    x = 130,740,955,882.39/417,764.34
  6. Step 6: Final answer
    x = 312,953.84

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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.