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Finding the Fourth Proportional to 5,161,477.50, 7,741,715.96 and 1,567,276.04

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Solution

The fourth proportional to 5,161,477.50, 7,741,715.96 and 1,567,276.04 is: 2,350,762.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161,477.50 : 7,741,715.96 = 1,567,276.04 : x
  2. Step 2: Convert to fraction form
    5,161,477.50/7,741,715.96 = 1,567,276.04/x
  3. Step 3: Cross multiply
    5,161,477.50x = 7,741,715.96 × 1,567,276.04
  4. Step 4: Simplify right side
    5,161,477.50x = 12,133,405,932,593.60
  5. Step 5: Solve for x
    x = 12,133,405,932,593.60/5,161,477.50
  6. Step 6: Final answer
    x = 2,350,762.15

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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.