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Finding the Fourth Proportional to 319,153.88, 478,742.97 and 119,453.24

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Solution

The fourth proportional to 319,153.88, 478,742.97 and 119,453.24 is: 179,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,153.88 : 478,742.97 = 119,453.24 : x
  2. Step 2: Convert to fraction form
    319,153.88/478,742.97 = 119,453.24/x
  3. Step 3: Cross multiply
    319,153.88x = 478,742.97 × 119,453.24
  4. Step 4: Simplify right side
    319,153.88x = 57,187,398,893.72
  5. Step 5: Solve for x
    x = 57,187,398,893.72/319,153.88
  6. Step 6: Final answer
    x = 179,184.41

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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.