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Finding the Fourth Proportional to 411,981.10, 617,971.65 and 253,696.30

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Solution

The fourth proportional to 411,981.10, 617,971.65 and 253,696.30 is: 380,544.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,981.10 : 617,971.65 = 253,696.30 : x
  2. Step 2: Convert to fraction form
    411,981.10/617,971.65 = 253,696.30/x
  3. Step 3: Cross multiply
    411,981.10x = 617,971.65 × 253,696.30
  4. Step 4: Simplify right side
    411,981.10x = 156,777,121,109.90
  5. Step 5: Solve for x
    x = 156,777,121,109.90/411,981.10
  6. Step 6: Final answer
    x = 380,544.45

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Double scale
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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.