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Finding the Fourth Proportional to 511,897.60, 768,230.40 and 262,451.20

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Solution

The fourth proportional to 511,897.60, 768,230.40 and 262,451.20 is: 393,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,897.60 : 768,230.40 = 262,451.20 : x
  2. Step 2: Convert to fraction form
    511,897.60/768,230.40 = 262,451.20/x
  3. Step 3: Cross multiply
    511,897.60x = 768,230.40 × 262,451.20
  4. Step 4: Simplify right side
    511,897.60x = 201,622,990,356.48
  5. Step 5: Solve for x
    x = 201,622,990,356.48/511,897.60
  6. Step 6: Final answer
    x = 393,873.68

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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.