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Finding the Fourth Proportional to 713,712.40, 984,921.60 and 411,906.40

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Solution

The fourth proportional to 713,712.40, 984,921.60 and 411,906.40 is: 568,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,712.40 : 984,921.60 = 411,906.40 : x
  2. Step 2: Convert to fraction form
    713,712.40/984,921.60 = 411,906.40/x
  3. Step 3: Cross multiply
    713,712.40x = 984,921.60 × 411,906.40
  4. Step 4: Simplify right side
    713,712.40x = 405,695,510,538.24
  5. Step 5: Solve for x
    x = 405,695,510,538.24/713,712.40
  6. Step 6: Final answer
    x = 568,429.96

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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.