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Finding the Fourth Proportional to 407,712.24, 562,661.60 and 226,425

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Solution

The fourth proportional to 407,712.24, 562,661.60 and 226,425 is: 312,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,712.24 : 562,661.60 = 226,425 : x
  2. Step 2: Convert to fraction form
    407,712.24/562,661.60 = 226,425/x
  3. Step 3: Cross multiply
    407,712.24x = 562,661.60 × 226,425
  4. Step 4: Simplify right side
    407,712.24x = 127,400,652,780
  5. Step 5: Solve for x
    x = 127,400,652,780/407,712.24
  6. Step 6: Final answer
    x = 312,476.89

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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.