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Finding the Fourth Proportional to 782,893.30, 1,174,449.30 and 333,610.60

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Solution

The fourth proportional to 782,893.30, 1,174,449.30 and 333,610.60 is: 500,462.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,893.30 : 1,174,449.30 = 333,610.60 : x
  2. Step 2: Convert to fraction form
    782,893.30/1,174,449.30 = 333,610.60/x
  3. Step 3: Cross multiply
    782,893.30x = 1,174,449.30 × 333,610.60
  4. Step 4: Simplify right side
    782,893.30x = 391,808,735,642.58
  5. Step 5: Solve for x
    x = 391,808,735,642.58/782,893.30
  6. Step 6: Final answer
    x = 500,462.50

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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.