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Finding the Fourth Proportional to 314,211.64, 471,589.08 and 164,556.64

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Solution

The fourth proportional to 314,211.64, 471,589.08 and 164,556.64 is: 246,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,211.64 : 471,589.08 = 164,556.64 : x
  2. Step 2: Convert to fraction form
    314,211.64/471,589.08 = 164,556.64/x
  3. Step 3: Cross multiply
    314,211.64x = 471,589.08 × 164,556.64
  4. Step 4: Simplify right side
    314,211.64x = 77,603,114,465.49
  5. Step 5: Solve for x
    x = 77,603,114,465.49/314,211.64
  6. Step 6: Final answer
    x = 246,977.21

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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.