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Finding the Fourth Proportional to 319,756.88, 479,682.71 and 106,455.13

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Solution

The fourth proportional to 319,756.88, 479,682.71 and 106,455.13 is: 159,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,756.88 : 479,682.71 = 106,455.13 : x
  2. Step 2: Convert to fraction form
    319,756.88/479,682.71 = 106,455.13/x
  3. Step 3: Cross multiply
    319,756.88x = 479,682.71 × 106,455.13
  4. Step 4: Simplify right side
    319,756.88x = 51,064,682,321.11
  5. Step 5: Solve for x
    x = 51,064,682,321.11/319,756.88
  6. Step 6: Final answer
    x = 159,698.46

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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.