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Finding the Fourth Proportional to 713,605.70, 1,070,408.55 and 293,183.30

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Solution

The fourth proportional to 713,605.70, 1,070,408.55 and 293,183.30 is: 439,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,605.70 : 1,070,408.55 = 293,183.30 : x
  2. Step 2: Convert to fraction form
    713,605.70/1,070,408.55 = 293,183.30/x
  3. Step 3: Cross multiply
    713,605.70x = 1,070,408.55 × 293,183.30
  4. Step 4: Simplify right side
    713,605.70x = 313,825,911,037.22
  5. Step 5: Solve for x
    x = 313,825,911,037.22/713,605.70
  6. Step 6: Final answer
    x = 439,774.95

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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.