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Finding the Fourth Proportional to 365,083.24, 547,676.77 and 112,384.81

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Solution

The fourth proportional to 365,083.24, 547,676.77 and 112,384.81 is: 168,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,083.24 : 547,676.77 = 112,384.81 : x
  2. Step 2: Convert to fraction form
    365,083.24/547,676.77 = 112,384.81/x
  3. Step 3: Cross multiply
    365,083.24x = 547,676.77 × 112,384.81
  4. Step 4: Simplify right side
    365,083.24x = 61,550,549,737.86
  5. Step 5: Solve for x
    x = 61,550,549,737.86/365,083.24
  6. Step 6: Final answer
    x = 168,593.19

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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.