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Finding the Fourth Proportional to 468,081.60, 702,122.40 and 397,222.80

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Solution

The fourth proportional to 468,081.60, 702,122.40 and 397,222.80 is: 595,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,081.60 : 702,122.40 = 397,222.80 : x
  2. Step 2: Convert to fraction form
    468,081.60/702,122.40 = 397,222.80/x
  3. Step 3: Cross multiply
    468,081.60x = 702,122.40 × 397,222.80
  4. Step 4: Simplify right side
    468,081.60x = 278,899,025,670.72
  5. Step 5: Solve for x
    x = 278,899,025,670.72/468,081.60
  6. Step 6: Final answer
    x = 595,834.20

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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.