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Finding the Fourth Proportional to 471,355.92, 707,035.32 and 116,369.98

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Solution

The fourth proportional to 471,355.92, 707,035.32 and 116,369.98 is: 174,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,355.92 : 707,035.32 = 116,369.98 : x
  2. Step 2: Convert to fraction form
    471,355.92/707,035.32 = 116,369.98/x
  3. Step 3: Cross multiply
    471,355.92x = 707,035.32 × 116,369.98
  4. Step 4: Simplify right side
    471,355.92x = 82,277,684,280.11
  5. Step 5: Solve for x
    x = 82,277,684,280.11/471,355.92
  6. Step 6: Final answer
    x = 174,555.32

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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.