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Finding the Fourth Proportional to 697,782.78, 963,065.91 and 411,286.14

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Solution

The fourth proportional to 697,782.78, 963,065.91 and 411,286.14 is: 567,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,782.78 : 963,065.91 = 411,286.14 : x
  2. Step 2: Convert to fraction form
    697,782.78/963,065.91 = 411,286.14/x
  3. Step 3: Cross multiply
    697,782.78x = 963,065.91 × 411,286.14
  4. Step 4: Simplify right side
    697,782.78x = 396,095,660,689.49
  5. Step 5: Solve for x
    x = 396,095,660,689.49/697,782.78
  6. Step 6: Final answer
    x = 567,648.95

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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.