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Finding the Fourth Proportional to 417,735.51, 576,475.70 and 226,748.85

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Solution

The fourth proportional to 417,735.51, 576,475.70 and 226,748.85 is: 312,913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,735.51 : 576,475.70 = 226,748.85 : x
  2. Step 2: Convert to fraction form
    417,735.51/576,475.70 = 226,748.85/x
  3. Step 3: Cross multiply
    417,735.51x = 576,475.70 × 226,748.85
  4. Step 4: Simplify right side
    417,735.51x = 130,715,200,894.20
  5. Step 5: Solve for x
    x = 130,715,200,894.20/417,735.51
  6. Step 6: Final answer
    x = 312,913.79

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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.