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Finding the Fourth Proportional to 417,539.46, 576,202.53 and 226,552.38

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Solution

The fourth proportional to 417,539.46, 576,202.53 and 226,552.38 is: 312,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,539.46 : 576,202.53 = 226,552.38 : x
  2. Step 2: Convert to fraction form
    417,539.46/576,202.53 = 226,552.38/x
  3. Step 3: Cross multiply
    417,539.46x = 576,202.53 × 226,552.38
  4. Step 4: Simplify right side
    417,539.46x = 130,540,054,533.52
  5. Step 5: Solve for x
    x = 130,540,054,533.52/417,539.46
  6. Step 6: Final answer
    x = 312,641.24

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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.