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Finding the Fourth Proportional to 407,757.58, 562,712.41 and 224,003.87

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Solution

The fourth proportional to 407,757.58, 562,712.41 and 224,003.87 is: 309,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,757.58 : 562,712.41 = 224,003.87 : x
  2. Step 2: Convert to fraction form
    407,757.58/562,712.41 = 224,003.87/x
  3. Step 3: Cross multiply
    407,757.58x = 562,712.41 × 224,003.87
  4. Step 4: Simplify right side
    407,757.58x = 126,049,759,503.82
  5. Step 5: Solve for x
    x = 126,049,759,503.82/407,757.58
  6. Step 6: Final answer
    x = 309,129.17

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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.