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Finding the Fourth Proportional to 561,661.49, 774,970.74 and 332,231.42

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Solution

The fourth proportional to 561,661.49, 774,970.74 and 332,231.42 is: 458,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,661.49 : 774,970.74 = 332,231.42 : x
  2. Step 2: Convert to fraction form
    561,661.49/774,970.74 = 332,231.42/x
  3. Step 3: Cross multiply
    561,661.49x = 774,970.74 × 332,231.42
  4. Step 4: Simplify right side
    561,661.49x = 257,469,631,346.08
  5. Step 5: Solve for x
    x = 257,469,631,346.08/561,661.49
  6. Step 6: Final answer
    x = 458,407.13

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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.