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Finding the Fourth Proportional to 338,493.60, 507,740.40 and 238,766.40

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Solution

The fourth proportional to 338,493.60, 507,740.40 and 238,766.40 is: 358,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,493.60 : 507,740.40 = 238,766.40 : x
  2. Step 2: Convert to fraction form
    338,493.60/507,740.40 = 238,766.40/x
  3. Step 3: Cross multiply
    338,493.60x = 507,740.40 × 238,766.40
  4. Step 4: Simplify right side
    338,493.60x = 121,231,347,442.56
  5. Step 5: Solve for x
    x = 121,231,347,442.56/338,493.60
  6. Step 6: Final answer
    x = 358,149.60

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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.