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Finding the Fourth Proportional to 468,549.36, 702,824.04 and 113,563.38

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Solution

The fourth proportional to 468,549.36, 702,824.04 and 113,563.38 is: 170,345.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,549.36 : 702,824.04 = 113,563.38 : x
  2. Step 2: Convert to fraction form
    468,549.36/702,824.04 = 113,563.38/x
  3. Step 3: Cross multiply
    468,549.36x = 702,824.04 × 113,563.38
  4. Step 4: Simplify right side
    468,549.36x = 79,815,073,527.66
  5. Step 5: Solve for x
    x = 79,815,073,527.66/468,549.36
  6. Step 6: Final answer
    x = 170,345.07

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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.