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Finding the Fourth Proportional to 697,946.96, 963,175.44 and 411,449.84

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Solution

The fourth proportional to 697,946.96, 963,175.44 and 411,449.84 is: 567,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,946.96 : 963,175.44 = 411,449.84 : x
  2. Step 2: Convert to fraction form
    697,946.96/963,175.44 = 411,449.84/x
  3. Step 3: Cross multiply
    697,946.96x = 963,175.44 × 411,449.84
  4. Step 4: Simplify right side
    697,946.96x = 396,298,380,679.93
  5. Step 5: Solve for x
    x = 396,298,380,679.93/697,946.96
  6. Step 6: Final answer
    x = 567,805.87

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Double scale
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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.