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Finding the Fourth Proportional to 420,536.92, 630,774.88 and 164,321.33

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Solution

The fourth proportional to 420,536.92, 630,774.88 and 164,321.33 is: 246,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,536.92 : 630,774.88 = 164,321.33 : x
  2. Step 2: Convert to fraction form
    420,536.92/630,774.88 = 164,321.33/x
  3. Step 3: Cross multiply
    420,536.92x = 630,774.88 × 164,321.33
  4. Step 4: Simplify right side
    420,536.92x = 103,649,766,629.12
  5. Step 5: Solve for x
    x = 103,649,766,629.12/420,536.92
  6. Step 6: Final answer
    x = 246,470.08

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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.