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Finding the Fourth Proportional to 468,626.40, 702,997.20 and 152,997.60

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Solution

The fourth proportional to 468,626.40, 702,997.20 and 152,997.60 is: 229,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,626.40 : 702,997.20 = 152,997.60 : x
  2. Step 2: Convert to fraction form
    468,626.40/702,997.20 = 152,997.60/x
  3. Step 3: Cross multiply
    468,626.40x = 702,997.20 × 152,997.60
  4. Step 4: Simplify right side
    468,626.40x = 107,556,884,406.72
  5. Step 5: Solve for x
    x = 107,556,884,406.72/468,626.40
  6. Step 6: Final answer
    x = 229,515.21

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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.