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Finding the Fourth Proportional to 319,124.25, 478,768.41 and 119,447.51

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Solution

The fourth proportional to 319,124.25, 478,768.41 and 119,447.51 is: 179,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,124.25 : 478,768.41 = 119,447.51 : x
  2. Step 2: Convert to fraction form
    319,124.25/478,768.41 = 119,447.51/x
  3. Step 3: Cross multiply
    319,124.25x = 478,768.41 × 119,447.51
  4. Step 4: Simplify right side
    319,124.25x = 57,187,692,047.32
  5. Step 5: Solve for x
    x = 57,187,692,047.32/319,124.25
  6. Step 6: Final answer
    x = 179,201.96

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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.