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Finding the Fourth Proportional to 407,575.10, 562,427.61 and 226,286.98

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Solution

The fourth proportional to 407,575.10, 562,427.61 and 226,286.98 is: 312,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,575.10 : 562,427.61 = 226,286.98 : x
  2. Step 2: Convert to fraction form
    407,575.10/562,427.61 = 226,286.98/x
  3. Step 3: Cross multiply
    407,575.10x = 562,427.61 × 226,286.98
  4. Step 4: Simplify right side
    407,575.10x = 127,270,045,335.52
  5. Step 5: Solve for x
    x = 127,270,045,335.52/407,575.10
  6. Step 6: Final answer
    x = 312,261.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.