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Finding the Fourth Proportional to 417,729.72, 576,467.46 and 226,743.08

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Solution

The fourth proportional to 417,729.72, 576,467.46 and 226,743.08 is: 312,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,729.72 : 576,467.46 = 226,743.08 : x
  2. Step 2: Convert to fraction form
    417,729.72/576,467.46 = 226,743.08/x
  3. Step 3: Cross multiply
    417,729.72x = 576,467.46 × 226,743.08
  4. Step 4: Simplify right side
    417,729.72x = 130,710,007,400.18
  5. Step 5: Solve for x
    x = 130,710,007,400.18/417,729.72
  6. Step 6: Final answer
    x = 312,905.69

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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.