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Finding the Fourth Proportional to 346,183.96, 519,294.84 and 109,509.04

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Solution

The fourth proportional to 346,183.96, 519,294.84 and 109,509.04 is: 164,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,183.96 : 519,294.84 = 109,509.04 : x
  2. Step 2: Convert to fraction form
    346,183.96/519,294.84 = 109,509.04/x
  3. Step 3: Cross multiply
    346,183.96x = 519,294.84 × 109,509.04
  4. Step 4: Simplify right side
    346,183.96x = 56,867,479,405.35
  5. Step 5: Solve for x
    x = 56,867,479,405.35/346,183.96
  6. Step 6: Final answer
    x = 164,269.54

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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.