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Finding the Fourth Proportional to 411,341, 612,516.94 and 396,207.44

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Solution

The fourth proportional to 411,341, 612,516.94 and 396,207.44 is: 589,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,341 : 612,516.94 = 396,207.44 : x
  2. Step 2: Convert to fraction form
    411,341/612,516.94 = 396,207.44/x
  3. Step 3: Cross multiply
    411,341x = 612,516.94 × 396,207.44
  4. Step 4: Simplify right side
    411,341x = 242,683,768,754.03
  5. Step 5: Solve for x
    x = 242,683,768,754.03/411,341
  6. Step 6: Final answer
    x = 589,981.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.