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Finding the Fourth Proportional to 314,430.60, 433,922.07 and 171,198.51

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Solution

The fourth proportional to 314,430.60, 433,922.07 and 171,198.51 is: 236,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,430.60 : 433,922.07 = 171,198.51 : x
  2. Step 2: Convert to fraction form
    314,430.60/433,922.07 = 171,198.51/x
  3. Step 3: Cross multiply
    314,430.60x = 433,922.07 × 171,198.51
  4. Step 4: Simplify right side
    314,430.60x = 74,286,811,840.12
  5. Step 5: Solve for x
    x = 74,286,811,840.12/314,430.60
  6. Step 6: Final answer
    x = 236,258.21

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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.