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Finding the Fourth Proportional to 371,511.90, 512,676 and 210,382.20

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Solution

The fourth proportional to 371,511.90, 512,676 and 210,382.20 is: 290,321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,511.90 : 512,676 = 210,382.20 : x
  2. Step 2: Convert to fraction form
    371,511.90/512,676 = 210,382.20/x
  3. Step 3: Cross multiply
    371,511.90x = 512,676 × 210,382.20
  4. Step 4: Simplify right side
    371,511.90x = 107,857,904,767.20
  5. Step 5: Solve for x
    x = 107,857,904,767.20/371,511.90
  6. Step 6: Final answer
    x = 290,321.53

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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.