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Finding the Fourth Proportional to 941,149, 1,298,960.58 and 538,741

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Solution

The fourth proportional to 941,149, 1,298,960.58 and 538,741 is: 743,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,149 : 1,298,960.58 = 538,741 : x
  2. Step 2: Convert to fraction form
    941,149/1,298,960.58 = 538,741/x
  3. Step 3: Cross multiply
    941,149x = 1,298,960.58 × 538,741
  4. Step 4: Simplify right side
    941,149x = 699,803,321,829.78
  5. Step 5: Solve for x
    x = 699,803,321,829.78/941,149
  6. Step 6: Final answer
    x = 743,562.73

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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.