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Finding the Fourth Proportional to 468,822.02, 703,233.02 and 113,833.64

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Solution

The fourth proportional to 468,822.02, 703,233.02 and 113,833.64 is: 170,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,822.02 : 703,233.02 = 113,833.64 : x
  2. Step 2: Convert to fraction form
    468,822.02/703,233.02 = 113,833.64/x
  3. Step 3: Cross multiply
    468,822.02x = 703,233.02 × 113,833.64
  4. Step 4: Simplify right side
    468,822.02x = 80,051,576,477.46
  5. Step 5: Solve for x
    x = 80,051,576,477.46/468,822.02
  6. Step 6: Final answer
    x = 170,750.46

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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.