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Finding the Fourth Proportional to 420,513.30, 630,866.54 and 120,996.36

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Solution

The fourth proportional to 420,513.30, 630,866.54 and 120,996.36 is: 181,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,513.30 : 630,866.54 = 120,996.36 : x
  2. Step 2: Convert to fraction form
    420,513.30/630,866.54 = 120,996.36/x
  3. Step 3: Cross multiply
    420,513.30x = 630,866.54 × 120,996.36
  4. Step 4: Simplify right side
    420,513.30x = 76,332,555,288.29
  5. Step 5: Solve for x
    x = 76,332,555,288.29/420,513.30
  6. Step 6: Final answer
    x = 181,522.33

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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.