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Finding the Fourth Proportional to 508,948.56, 763,306.20 and 228,546

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Solution

The fourth proportional to 508,948.56, 763,306.20 and 228,546 is: 342,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,948.56 : 763,306.20 = 228,546 : x
  2. Step 2: Convert to fraction form
    508,948.56/763,306.20 = 228,546/x
  3. Step 3: Cross multiply
    508,948.56x = 763,306.20 × 228,546
  4. Step 4: Simplify right side
    508,948.56x = 174,450,578,785.20
  5. Step 5: Solve for x
    x = 174,450,578,785.20/508,948.56
  6. Step 6: Final answer
    x = 342,766.62

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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.