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Finding the Fourth Proportional to 675,442.80, 1,013,034.60 and 202,143.60

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Solution

The fourth proportional to 675,442.80, 1,013,034.60 and 202,143.60 is: 303,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,442.80 : 1,013,034.60 = 202,143.60 : x
  2. Step 2: Convert to fraction form
    675,442.80/1,013,034.60 = 202,143.60/x
  3. Step 3: Cross multiply
    675,442.80x = 1,013,034.60 × 202,143.60
  4. Step 4: Simplify right side
    675,442.80x = 204,778,460,968.56
  5. Step 5: Solve for x
    x = 204,778,460,968.56/675,442.80
  6. Step 6: Final answer
    x = 303,176.61

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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.