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Finding the Fourth Proportional to 582,647.60, 874,000.20 and 302,711.60

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Solution

The fourth proportional to 582,647.60, 874,000.20 and 302,711.60 is: 454,082.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,647.60 : 874,000.20 = 302,711.60 : x
  2. Step 2: Convert to fraction form
    582,647.60/874,000.20 = 302,711.60/x
  3. Step 3: Cross multiply
    582,647.60x = 874,000.20 × 302,711.60
  4. Step 4: Simplify right side
    582,647.60x = 264,569,998,942.32
  5. Step 5: Solve for x
    x = 264,569,998,942.32/582,647.60
  6. Step 6: Final answer
    x = 454,082.36

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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.