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Finding the Fourth Proportional to 497,733.40, 746,600.10 and 347,656.60

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Solution

The fourth proportional to 497,733.40, 746,600.10 and 347,656.60 is: 521,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,733.40 : 746,600.10 = 347,656.60 : x
  2. Step 2: Convert to fraction form
    497,733.40/746,600.10 = 347,656.60/x
  3. Step 3: Cross multiply
    497,733.40x = 746,600.10 × 347,656.60
  4. Step 4: Simplify right side
    497,733.40x = 259,560,452,325.66
  5. Step 5: Solve for x
    x = 259,560,452,325.66/497,733.40
  6. Step 6: Final answer
    x = 521,484.90

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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.