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Finding the Fourth Proportional to 469,088, 703,632.56 and 114,099.56

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Solution

The fourth proportional to 469,088, 703,632.56 and 114,099.56 is: 171,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,088 : 703,632.56 = 114,099.56 : x
  2. Step 2: Convert to fraction form
    469,088/703,632.56 = 114,099.56/x
  3. Step 3: Cross multiply
    469,088x = 703,632.56 × 114,099.56
  4. Step 4: Simplify right side
    469,088x = 80,284,165,497.67
  5. Step 5: Solve for x
    x = 80,284,165,497.67/469,088
  6. Step 6: Final answer
    x = 171,149.48

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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.