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Finding the Fourth Proportional to 348,516.16, 522,842.32 and 111,840.64

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Solution

The fourth proportional to 348,516.16, 522,842.32 and 111,840.64 is: 167,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,516.16 : 522,842.32 = 111,840.64 : x
  2. Step 2: Convert to fraction form
    348,516.16/522,842.32 = 111,840.64/x
  3. Step 3: Cross multiply
    348,516.16x = 522,842.32 × 111,840.64
  4. Step 4: Simplify right side
    348,516.16x = 58,475,019,687.88
  5. Step 5: Solve for x
    x = 58,475,019,687.88/348,516.16
  6. Step 6: Final answer
    x = 167,782.81

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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.