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Finding the Fourth Proportional to 367,403.16, 551,308.86 and 198,921

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Solution

The fourth proportional to 367,403.16, 551,308.86 and 198,921 is: 298,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,403.16 : 551,308.86 = 198,921 : x
  2. Step 2: Convert to fraction form
    367,403.16/551,308.86 = 198,921/x
  3. Step 3: Cross multiply
    367,403.16x = 551,308.86 × 198,921
  4. Step 4: Simplify right side
    367,403.16x = 109,666,909,740.06
  5. Step 5: Solve for x
    x = 109,666,909,740.06/367,403.16
  6. Step 6: Final answer
    x = 298,492.02

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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.