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Finding the Fourth Proportional to 713,698.40, 984,902.28 and 411,892.40

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Solution

The fourth proportional to 713,698.40, 984,902.28 and 411,892.40 is: 568,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,698.40 : 984,902.28 = 411,892.40 : x
  2. Step 2: Convert to fraction form
    713,698.40/984,902.28 = 411,892.40/x
  3. Step 3: Cross multiply
    713,698.40x = 984,902.28 × 411,892.40
  4. Step 4: Simplify right side
    713,698.40x = 405,673,763,874.67
  5. Step 5: Solve for x
    x = 405,673,763,874.67/713,698.40
  6. Step 6: Final answer
    x = 568,410.64

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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.