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Finding the Fourth Proportional to 509,266.44, 763,719.03 and 149,337.27

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Solution

The fourth proportional to 509,266.44, 763,719.03 and 149,337.27 is: 223,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,266.44 : 763,719.03 = 149,337.27 : x
  2. Step 2: Convert to fraction form
    509,266.44/763,719.03 = 149,337.27/x
  3. Step 3: Cross multiply
    509,266.44x = 763,719.03 × 149,337.27
  4. Step 4: Simplify right side
    509,266.44x = 114,051,714,987.25
  5. Step 5: Solve for x
    x = 114,051,714,987.25/509,266.44
  6. Step 6: Final answer
    x = 223,952.94

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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.