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Finding the Fourth Proportional to 417,803.46, 576,575.74 and 226,816.86

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Solution

The fourth proportional to 417,803.46, 576,575.74 and 226,816.86 is: 313,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,803.46 : 576,575.74 = 226,816.86 : x
  2. Step 2: Convert to fraction form
    417,803.46/576,575.74 = 226,816.86/x
  3. Step 3: Cross multiply
    417,803.46x = 576,575.74 × 226,816.86
  4. Step 4: Simplify right side
    417,803.46x = 130,777,098,898.98
  5. Step 5: Solve for x
    x = 130,777,098,898.98/417,803.46
  6. Step 6: Final answer
    x = 313,011.05

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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.