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Finding the Fourth Proportional to 314,019.60, 433,350.23 and 170,782.80

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Solution

The fourth proportional to 314,019.60, 433,350.23 and 170,782.80 is: 235,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,019.60 : 433,350.23 = 170,782.80 : x
  2. Step 2: Convert to fraction form
    314,019.60/433,350.23 = 170,782.80/x
  3. Step 3: Cross multiply
    314,019.60x = 433,350.23 × 170,782.80
  4. Step 4: Simplify right side
    314,019.60x = 74,008,765,660.04
  5. Step 5: Solve for x
    x = 74,008,765,660.04/314,019.60
  6. Step 6: Final answer
    x = 235,681.99

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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.