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Finding the Fourth Proportional to 713,702.90, 984,908.49 and 411,896.90

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Solution

The fourth proportional to 713,702.90, 984,908.49 and 411,896.90 is: 568,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,702.90 : 984,908.49 = 411,896.90 : x
  2. Step 2: Convert to fraction form
    713,702.90/984,908.49 = 411,896.90/x
  3. Step 3: Cross multiply
    713,702.90x = 984,908.49 × 411,896.90
  4. Step 4: Simplify right side
    713,702.90x = 405,680,753,814.68
  5. Step 5: Solve for x
    x = 405,680,753,814.68/713,702.90
  6. Step 6: Final answer
    x = 568,416.85

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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.