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Finding the Fourth Proportional to 314,556.92, 471,960.12 and 114,890.32

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Solution

The fourth proportional to 314,556.92, 471,960.12 and 114,890.32 is: 172,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,556.92 : 471,960.12 = 114,890.32 : x
  2. Step 2: Convert to fraction form
    314,556.92/471,960.12 = 114,890.32/x
  3. Step 3: Cross multiply
    314,556.92x = 471,960.12 × 114,890.32
  4. Step 4: Simplify right side
    314,556.92x = 54,223,649,214.04
  5. Step 5: Solve for x
    x = 54,223,649,214.04/314,556.92
  6. Step 6: Final answer
    x = 172,381.04

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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.