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Finding the Fourth Proportional to 713,698.90, 984,902.97 and 411,892.90

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Solution

The fourth proportional to 713,698.90, 984,902.97 and 411,892.90 is: 568,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,698.90 : 984,902.97 = 411,892.90 : x
  2. Step 2: Convert to fraction form
    713,698.90/984,902.97 = 411,892.90/x
  3. Step 3: Cross multiply
    713,698.90x = 984,902.97 × 411,892.90
  4. Step 4: Simplify right side
    713,698.90x = 405,674,540,531.91
  5. Step 5: Solve for x
    x = 405,674,540,531.91/713,698.90
  6. Step 6: Final answer
    x = 568,411.33

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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.