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Finding the Fourth Proportional to 417,682.42, 576,402.02 and 226,695.81

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Solution

The fourth proportional to 417,682.42, 576,402.02 and 226,695.81 is: 312,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,682.42 : 576,402.02 = 226,695.81 : x
  2. Step 2: Convert to fraction form
    417,682.42/576,402.02 = 226,695.81/x
  3. Step 3: Cross multiply
    417,682.42x = 576,402.02 × 226,695.81
  4. Step 4: Simplify right side
    417,682.42x = 130,667,925,962.84
  5. Step 5: Solve for x
    x = 130,667,925,962.84/417,682.42
  6. Step 6: Final answer
    x = 312,840.38

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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.