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Finding the Fourth Proportional to 756,333, 1,043,761.41 and 416,823.12

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Solution

The fourth proportional to 756,333, 1,043,761.41 and 416,823.12 is: 575,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,333 : 1,043,761.41 = 416,823.12 : x
  2. Step 2: Convert to fraction form
    756,333/1,043,761.41 = 416,823.12/x
  3. Step 3: Cross multiply
    756,333x = 1,043,761.41 × 416,823.12
  4. Step 4: Simplify right side
    756,333x = 435,063,887,451.80
  5. Step 5: Solve for x
    x = 435,063,887,451.80/756,333
  6. Step 6: Final answer
    x = 575,227.96

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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.