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Finding the Fourth Proportional to 508,020.48, 762,059.52 and 153,083.52

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Solution

The fourth proportional to 508,020.48, 762,059.52 and 153,083.52 is: 229,633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,020.48 : 762,059.52 = 153,083.52 : x
  2. Step 2: Convert to fraction form
    508,020.48/762,059.52 = 153,083.52/x
  3. Step 3: Cross multiply
    508,020.48x = 762,059.52 × 153,083.52
  4. Step 4: Simplify right side
    508,020.48x = 116,658,753,771.11
  5. Step 5: Solve for x
    x = 116,658,753,771.11/508,020.48
  6. Step 6: Final answer
    x = 229,633.96

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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.