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Finding the Fourth Proportional to 340,308.24, 510,462.42 and 140,409

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Solution

The fourth proportional to 340,308.24, 510,462.42 and 140,409 is: 210,613.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,308.24 : 510,462.42 = 140,409 : x
  2. Step 2: Convert to fraction form
    340,308.24/510,462.42 = 140,409/x
  3. Step 3: Cross multiply
    340,308.24x = 510,462.42 × 140,409
  4. Step 4: Simplify right side
    340,308.24x = 71,673,517,929.78
  5. Step 5: Solve for x
    x = 71,673,517,929.78/340,308.24
  6. Step 6: Final answer
    x = 210,613.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.