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Finding the Fourth Proportional to 468,214.29, 702,353.13 and 164,571.51

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Solution

The fourth proportional to 468,214.29, 702,353.13 and 164,571.51 is: 246,868.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,214.29 : 702,353.13 = 164,571.51 : x
  2. Step 2: Convert to fraction form
    468,214.29/702,353.13 = 164,571.51/x
  3. Step 3: Cross multiply
    468,214.29x = 702,353.13 × 164,571.51
  4. Step 4: Simplify right side
    468,214.29x = 115,587,317,174.01
  5. Step 5: Solve for x
    x = 115,587,317,174.01/468,214.29
  6. Step 6: Final answer
    x = 246,868.41

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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.