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Finding the Fourth Proportional to 561,284.91, 774,608.85 and 319,588.59

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Solution

The fourth proportional to 561,284.91, 774,608.85 and 319,588.59 is: 441,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,284.91 : 774,608.85 = 319,588.59 : x
  2. Step 2: Convert to fraction form
    561,284.91/774,608.85 = 319,588.59/x
  3. Step 3: Cross multiply
    561,284.91x = 774,608.85 × 319,588.59
  4. Step 4: Simplify right side
    561,284.91x = 247,556,150,173.02
  5. Step 5: Solve for x
    x = 247,556,150,173.02/561,284.91
  6. Step 6: Final answer
    x = 441,052.57

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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.