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Finding the Fourth Proportional to 319,877.67, 479,783.52 and 106,622.49

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Solution

The fourth proportional to 319,877.67, 479,783.52 and 106,622.49 is: 159,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,877.67 : 479,783.52 = 106,622.49 : x
  2. Step 2: Convert to fraction form
    319,877.67/479,783.52 = 106,622.49/x
  3. Step 3: Cross multiply
    319,877.67x = 479,783.52 × 106,622.49
  4. Step 4: Simplify right side
    319,877.67x = 51,155,713,563.36
  5. Step 5: Solve for x
    x = 51,155,713,563.36/319,877.67
  6. Step 6: Final answer
    x = 159,922.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.