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Finding the Fourth Proportional to 407,848.90, 562,921.44 and 226,623.10

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Solution

The fourth proportional to 407,848.90, 562,921.44 and 226,623.10 is: 312,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,848.90 : 562,921.44 = 226,623.10 : x
  2. Step 2: Convert to fraction form
    407,848.90/562,921.44 = 226,623.10/x
  3. Step 3: Cross multiply
    407,848.90x = 562,921.44 × 226,623.10
  4. Step 4: Simplify right side
    407,848.90x = 127,571,001,789.26
  5. Step 5: Solve for x
    x = 127,571,001,789.26/407,848.90
  6. Step 6: Final answer
    x = 312,789.86

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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.