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Finding the Fourth Proportional to 301,848.92, 416,553.98 and 188,737.24

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Solution

The fourth proportional to 301,848.92, 416,553.98 and 188,737.24 is: 260,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,848.92 : 416,553.98 = 188,737.24 : x
  2. Step 2: Convert to fraction form
    301,848.92/416,553.98 = 188,737.24/x
  3. Step 3: Cross multiply
    301,848.92x = 416,553.98 × 188,737.24
  4. Step 4: Simplify right side
    301,848.92x = 78,619,248,496.22
  5. Step 5: Solve for x
    x = 78,619,248,496.22/301,848.92
  6. Step 6: Final answer
    x = 260,458.94

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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.