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Finding the Fourth Proportional to 422,627.81, 633,980.78 and 152,823.29

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Solution

The fourth proportional to 422,627.81, 633,980.78 and 152,823.29 is: 229,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,627.81 : 633,980.78 = 152,823.29 : x
  2. Step 2: Convert to fraction form
    422,627.81/633,980.78 = 152,823.29/x
  3. Step 3: Cross multiply
    422,627.81x = 633,980.78 × 152,823.29
  4. Step 4: Simplify right side
    422,627.81x = 96,887,025,808.52
  5. Step 5: Solve for x
    x = 96,887,025,808.52/422,627.81
  6. Step 6: Final answer
    x = 229,249.06

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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.