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Finding the Fourth Proportional to 342,850.92, 514,608.06 and 165,482.76

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Solution

The fourth proportional to 342,850.92, 514,608.06 and 165,482.76 is: 248,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,850.92 : 514,608.06 = 165,482.76 : x
  2. Step 2: Convert to fraction form
    342,850.92/514,608.06 = 165,482.76/x
  3. Step 3: Cross multiply
    342,850.92x = 514,608.06 × 165,482.76
  4. Step 4: Simplify right side
    342,850.92x = 85,158,762,087.05
  5. Step 5: Solve for x
    x = 85,158,762,087.05/342,850.92
  6. Step 6: Final answer
    x = 248,384.23

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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.