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Finding the Fourth Proportional to 407,589.34, 562,490.86 and 226,301.30

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Solution

The fourth proportional to 407,589.34, 562,490.86 and 226,301.30 is: 312,305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,589.34 : 562,490.86 = 226,301.30 : x
  2. Step 2: Convert to fraction form
    407,589.34/562,490.86 = 226,301.30/x
  3. Step 3: Cross multiply
    407,589.34x = 562,490.86 × 226,301.30
  4. Step 4: Simplify right side
    407,589.34x = 127,292,412,856.12
  5. Step 5: Solve for x
    x = 127,292,412,856.12/407,589.34
  6. Step 6: Final answer
    x = 312,305.55

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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.