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Finding the Fourth Proportional to 804,535.26, 1,207,312 and 449,782

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Solution

The fourth proportional to 804,535.26, 1,207,312 and 449,782 is: 674,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,535.26 : 1,207,312 = 449,782 : x
  2. Step 2: Convert to fraction form
    804,535.26/1,207,312 = 449,782/x
  3. Step 3: Cross multiply
    804,535.26x = 1,207,312 × 449,782
  4. Step 4: Simplify right side
    804,535.26x = 543,027,205,984
  5. Step 5: Solve for x
    x = 543,027,205,984/804,535.26
  6. Step 6: Final answer
    x = 674,957.62

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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.