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Finding the Fourth Proportional to 497,408.11, 745,558.12 and 197,808.55

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Solution

The fourth proportional to 497,408.11, 745,558.12 and 197,808.55 is: 296,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,408.11 : 745,558.12 = 197,808.55 : x
  2. Step 2: Convert to fraction form
    497,408.11/745,558.12 = 197,808.55/x
  3. Step 3: Cross multiply
    497,408.11x = 745,558.12 × 197,808.55
  4. Step 4: Simplify right side
    497,408.11x = 147,477,770,657.93
  5. Step 5: Solve for x
    x = 147,477,770,657.93/497,408.11
  6. Step 6: Final answer
    x = 296,492.49

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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.