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Finding the Fourth Proportional to 407,713.01, 562,662.63 and 226,425.74

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Solution

The fourth proportional to 407,713.01, 562,662.63 and 226,425.74 is: 312,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,713.01 : 562,662.63 = 226,425.74 : x
  2. Step 2: Convert to fraction form
    407,713.01/562,662.63 = 226,425.74/x
  3. Step 3: Cross multiply
    407,713.01x = 562,662.63 × 226,425.74
  4. Step 4: Simplify right side
    407,713.01x = 127,401,299,554.78
  5. Step 5: Solve for x
    x = 127,401,299,554.78/407,713.01
  6. Step 6: Final answer
    x = 312,477.89

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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.