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Finding the Fourth Proportional to 468,453.19, 702,685.53 and 164,856.38

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Solution

The fourth proportional to 468,453.19, 702,685.53 and 164,856.38 is: 247,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,453.19 : 702,685.53 = 164,856.38 : x
  2. Step 2: Convert to fraction form
    468,453.19/702,685.53 = 164,856.38/x
  3. Step 3: Cross multiply
    468,453.19x = 702,685.53 × 164,856.38
  4. Step 4: Simplify right side
    468,453.19x = 115,842,193,193.36
  5. Step 5: Solve for x
    x = 115,842,193,193.36/468,453.19
  6. Step 6: Final answer
    x = 247,286.59

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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.