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Finding the Fourth Proportional to 299,634.40, 413,434.56 and 190,782.40

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Solution

The fourth proportional to 299,634.40, 413,434.56 and 190,782.40 is: 263,240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,634.40 : 413,434.56 = 190,782.40 : x
  2. Step 2: Convert to fraction form
    299,634.40/413,434.56 = 190,782.40/x
  3. Step 3: Cross multiply
    299,634.40x = 413,434.56 × 190,782.40
  4. Step 4: Simplify right side
    299,634.40x = 78,876,037,599.74
  5. Step 5: Solve for x
    x = 78,876,037,599.74/299,634.40
  6. Step 6: Final answer
    x = 263,240.93

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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.