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Finding the Fourth Proportional to 371,219, 512,282.58 and 201,453.16

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Solution

The fourth proportional to 371,219, 512,282.58 and 201,453.16 is: 278,005.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,219 : 512,282.58 = 201,453.16 : x
  2. Step 2: Convert to fraction form
    371,219/512,282.58 = 201,453.16/x
  3. Step 3: Cross multiply
    371,219x = 512,282.58 × 201,453.16
  4. Step 4: Simplify right side
    371,219x = 103,200,944,553.95
  5. Step 5: Solve for x
    x = 103,200,944,553.95/371,219
  6. Step 6: Final answer
    x = 278,005.56

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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.