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Finding the Fourth Proportional to 561,829.44, 775,134.72 and 319,940.52

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Solution

The fourth proportional to 561,829.44, 775,134.72 and 319,940.52 is: 441,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,829.44 : 775,134.72 = 319,940.52 : x
  2. Step 2: Convert to fraction form
    561,829.44/775,134.72 = 319,940.52/x
  3. Step 3: Cross multiply
    561,829.44x = 775,134.72 × 319,940.52
  4. Step 4: Simplify right side
    561,829.44x = 247,997,005,386.85
  5. Step 5: Solve for x
    x = 247,997,005,386.85/561,829.44
  6. Step 6: Final answer
    x = 441,409.77

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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.