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Finding the Fourth Proportional to 365,466.86, 547,832.16 and 152,352.68

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Solution

The fourth proportional to 365,466.86, 547,832.16 and 152,352.68 is: 228,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,466.86 : 547,832.16 = 152,352.68 : x
  2. Step 2: Convert to fraction form
    365,466.86/547,832.16 = 152,352.68/x
  3. Step 3: Cross multiply
    365,466.86x = 547,832.16 × 152,352.68
  4. Step 4: Simplify right side
    365,466.86x = 83,463,697,766.19
  5. Step 5: Solve for x
    x = 83,463,697,766.19/365,466.86
  6. Step 6: Final answer
    x = 228,375.56

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Why These Related Problems?

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