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Finding the Fourth Proportional to 411,946.30, 617,573.85 and 214,954.30

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Solution

The fourth proportional to 411,946.30, 617,573.85 and 214,954.30 is: 322,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,946.30 : 617,573.85 = 214,954.30 : x
  2. Step 2: Convert to fraction form
    411,946.30/617,573.85 = 214,954.30/x
  3. Step 3: Cross multiply
    411,946.30x = 617,573.85 × 214,954.30
  4. Step 4: Simplify right side
    411,946.30x = 132,750,154,625.06
  5. Step 5: Solve for x
    x = 132,750,154,625.06/411,946.30
  6. Step 6: Final answer
    x = 322,251.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.