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Finding the Fourth Proportional to 507,912.95, 700,991.28 and 314,382.76

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Solution

The fourth proportional to 507,912.95, 700,991.28 and 314,382.76 is: 433,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,912.95 : 700,991.28 = 314,382.76 : x
  2. Step 2: Convert to fraction form
    507,912.95/700,991.28 = 314,382.76/x
  3. Step 3: Cross multiply
    507,912.95x = 700,991.28 × 314,382.76
  4. Step 4: Simplify right side
    507,912.95x = 220,379,571,589.86
  5. Step 5: Solve for x
    x = 220,379,571,589.86/507,912.95
  6. Step 6: Final answer
    x = 433,892.40

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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.