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Finding the Fourth Proportional to 314,212.64, 471,590.58 and 164,557.64

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Solution

The fourth proportional to 314,212.64, 471,590.58 and 164,557.64 is: 246,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,212.64 : 471,590.58 = 164,557.64 : x
  2. Step 2: Convert to fraction form
    314,212.64/471,590.58 = 164,557.64/x
  3. Step 3: Cross multiply
    314,212.64x = 471,590.58 × 164,557.64
  4. Step 4: Simplify right side
    314,212.64x = 77,603,832,891.03
  5. Step 5: Solve for x
    x = 77,603,832,891.03/314,212.64
  6. Step 6: Final answer
    x = 246,978.71

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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.