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Finding the Fourth Proportional to 361,097, 498,307.73 and 199,948.58

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Solution

The fourth proportional to 361,097, 498,307.73 and 199,948.58 is: 275,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,097 : 498,307.73 = 199,948.58 : x
  2. Step 2: Convert to fraction form
    361,097/498,307.73 = 199,948.58/x
  3. Step 3: Cross multiply
    361,097x = 498,307.73 × 199,948.58
  4. Step 4: Simplify right side
    361,097x = 99,635,923,016.52
  5. Step 5: Solve for x
    x = 99,635,923,016.52/361,097
  6. Step 6: Final answer
    x = 275,925.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.