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Finding the Fourth Proportional to 509,096.20, 763,449.90 and 153,992.20

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Solution

The fourth proportional to 509,096.20, 763,449.90 and 153,992.20 is: 230,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,096.20 : 763,449.90 = 153,992.20 : x
  2. Step 2: Convert to fraction form
    509,096.20/763,449.90 = 153,992.20/x
  3. Step 3: Cross multiply
    509,096.20x = 763,449.90 × 153,992.20
  4. Step 4: Simplify right side
    509,096.20x = 117,565,329,690.78
  5. Step 5: Solve for x
    x = 117,565,329,690.78/509,096.20
  6. Step 6: Final answer
    x = 230,929.50

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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.