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Finding the Fourth Proportional to 286,641.36, 395,577.36 and 159,318

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Solution

The fourth proportional to 286,641.36, 395,577.36 and 159,318 is: 219,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,641.36 : 395,577.36 = 159,318 : x
  2. Step 2: Convert to fraction form
    286,641.36/395,577.36 = 159,318/x
  3. Step 3: Cross multiply
    286,641.36x = 395,577.36 × 159,318
  4. Step 4: Simplify right side
    286,641.36x = 63,022,593,840.48
  5. Step 5: Solve for x
    x = 63,022,593,840.48/286,641.36
  6. Step 6: Final answer
    x = 219,865.67

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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.