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Finding the Fourth Proportional to 422,009.10, 633,014.68 and 106,466.01

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Solution

The fourth proportional to 422,009.10, 633,014.68 and 106,466.01 is: 159,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,009.10 : 633,014.68 = 106,466.01 : x
  2. Step 2: Convert to fraction form
    422,009.10/633,014.68 = 106,466.01/x
  3. Step 3: Cross multiply
    422,009.10x = 633,014.68 × 106,466.01
  4. Step 4: Simplify right side
    422,009.10x = 67,394,547,251.03
  5. Step 5: Solve for x
    x = 67,394,547,251.03/422,009.10
  6. Step 6: Final answer
    x = 159,699.27

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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.