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Finding the Fourth Proportional to 497,716.60, 748,418.10 and 416,615.80

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Solution

The fourth proportional to 497,716.60, 748,418.10 and 416,615.80 is: 626,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,716.60 : 748,418.10 = 416,615.80 : x
  2. Step 2: Convert to fraction form
    497,716.60/748,418.10 = 416,615.80/x
  3. Step 3: Cross multiply
    497,716.60x = 748,418.10 × 416,615.80
  4. Step 4: Simplify right side
    497,716.60x = 311,802,805,465.98
  5. Step 5: Solve for x
    x = 311,802,805,465.98/497,716.60
  6. Step 6: Final answer
    x = 626,466.56

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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.