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Finding the Fourth Proportional to 264,647.45, 396,970.56 and 114,868.32

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Solution

The fourth proportional to 264,647.45, 396,970.56 and 114,868.32 is: 172,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,647.45 : 396,970.56 = 114,868.32 : x
  2. Step 2: Convert to fraction form
    264,647.45/396,970.56 = 114,868.32/x
  3. Step 3: Cross multiply
    264,647.45x = 396,970.56 × 114,868.32
  4. Step 4: Simplify right side
    264,647.45x = 45,599,341,316.66
  5. Step 5: Solve for x
    x = 45,599,341,316.66/264,647.45
  6. Step 6: Final answer
    x = 172,302.21

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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.