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Finding the Fourth Proportional to 407,760.52, 562,716.47 and 224,006.81

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Solution

The fourth proportional to 407,760.52, 562,716.47 and 224,006.81 is: 309,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,760.52 : 562,716.47 = 224,006.81 : x
  2. Step 2: Convert to fraction form
    407,760.52/562,716.47 = 224,006.81/x
  3. Step 3: Cross multiply
    407,760.52x = 562,716.47 × 224,006.81
  4. Step 4: Simplify right side
    407,760.52x = 126,052,320,259.13
  5. Step 5: Solve for x
    x = 126,052,320,259.13/407,760.52
  6. Step 6: Final answer
    x = 309,133.22

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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.