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Finding the Fourth Proportional to 569,651.40, 786,103.38 and 314,993.88

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Solution

The fourth proportional to 569,651.40, 786,103.38 and 314,993.88 is: 434,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,651.40 : 786,103.38 = 314,993.88 : x
  2. Step 2: Convert to fraction form
    569,651.40/786,103.38 = 314,993.88/x
  3. Step 3: Cross multiply
    569,651.40x = 786,103.38 × 314,993.88
  4. Step 4: Simplify right side
    569,651.40x = 247,617,753,747.31
  5. Step 5: Solve for x
    x = 247,617,753,747.31/569,651.40
  6. Step 6: Final answer
    x = 434,682.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.