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Finding the Fourth Proportional to 507,375, 700,199.78 and 281,020.50

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Solution

The fourth proportional to 507,375, 700,199.78 and 281,020.50 is: 387,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,375 : 700,199.78 = 281,020.50 : x
  2. Step 2: Convert to fraction form
    507,375/700,199.78 = 281,020.50/x
  3. Step 3: Cross multiply
    507,375x = 700,199.78 × 281,020.50
  4. Step 4: Simplify right side
    507,375x = 196,770,490,870.39
  5. Step 5: Solve for x
    x = 196,770,490,870.39/507,375
  6. Step 6: Final answer
    x = 387,820.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.