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Finding the Fourth Proportional to 338,436.20, 507,308.70 and 198,122.60

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Solution

The fourth proportional to 338,436.20, 507,308.70 and 198,122.60 is: 296,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,436.20 : 507,308.70 = 198,122.60 : x
  2. Step 2: Convert to fraction form
    338,436.20/507,308.70 = 198,122.60/x
  3. Step 3: Cross multiply
    338,436.20x = 507,308.70 × 198,122.60
  4. Step 4: Simplify right side
    338,436.20x = 100,509,318,646.62
  5. Step 5: Solve for x
    x = 100,509,318,646.62/338,436.20
  6. Step 6: Final answer
    x = 296,981.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.