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Finding the Fourth Proportional to 407,591.96, 562,473.78 and 223,828.52

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Solution

The fourth proportional to 407,591.96, 562,473.78 and 223,828.52 is: 308,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,591.96 : 562,473.78 = 223,828.52 : x
  2. Step 2: Convert to fraction form
    407,591.96/562,473.78 = 223,828.52/x
  3. Step 3: Cross multiply
    407,591.96x = 562,473.78 × 223,828.52
  4. Step 4: Simplify right side
    407,591.96x = 125,897,673,716.21
  5. Step 5: Solve for x
    x = 125,897,673,716.21/407,591.96
  6. Step 6: Final answer
    x = 308,881.64

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Why These Related Problems?

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