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Finding the Fourth Proportional to 407,004, 561,665.52 and 225,743.69

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Solution

The fourth proportional to 407,004, 561,665.52 and 225,743.69 is: 311,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,004 : 561,665.52 = 225,743.69 : x
  2. Step 2: Convert to fraction form
    407,004/561,665.52 = 225,743.69/x
  3. Step 3: Cross multiply
    407,004x = 561,665.52 × 225,743.69
  4. Step 4: Simplify right side
    407,004x = 126,792,444,222.24
  5. Step 5: Solve for x
    x = 126,792,444,222.24/407,004
  6. Step 6: Final answer
    x = 311,526.29

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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.