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Finding the Fourth Proportional to 507,393.95, 699,938.17 and 313,739.75

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Solution

The fourth proportional to 507,393.95, 699,938.17 and 313,739.75 is: 432,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,393.95 : 699,938.17 = 313,739.75 : x
  2. Step 2: Convert to fraction form
    507,393.95/699,938.17 = 313,739.75/x
  3. Step 3: Cross multiply
    507,393.95x = 699,938.17 × 313,739.75
  4. Step 4: Simplify right side
    507,393.95x = 219,598,426,471.26
  5. Step 5: Solve for x
    x = 219,598,426,471.26/507,393.95
  6. Step 6: Final answer
    x = 432,796.70

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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.