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Finding the Fourth Proportional to 432,968.40, 650,230.20 and 314,773.20

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Solution

The fourth proportional to 432,968.40, 650,230.20 and 314,773.20 is: 472,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,968.40 : 650,230.20 = 314,773.20 : x
  2. Step 2: Convert to fraction form
    432,968.40/650,230.20 = 314,773.20/x
  3. Step 3: Cross multiply
    432,968.40x = 650,230.20 × 314,773.20
  4. Step 4: Simplify right side
    432,968.40x = 204,675,040,790.64
  5. Step 5: Solve for x
    x = 204,675,040,790.64/432,968.40
  6. Step 6: Final answer
    x = 472,725.12

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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.