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Finding the Fourth Proportional to 320,258, 441,956.76 and 192,938.96

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Solution

The fourth proportional to 320,258, 441,956.76 and 192,938.96 is: 266,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,258 : 441,956.76 = 192,938.96 : x
  2. Step 2: Convert to fraction form
    320,258/441,956.76 = 192,938.96/x
  3. Step 3: Cross multiply
    320,258x = 441,956.76 × 192,938.96
  4. Step 4: Simplify right side
    320,258x = 85,270,677,639.37
  5. Step 5: Solve for x
    x = 85,270,677,639.37/320,258
  6. Step 6: Final answer
    x = 266,256.20

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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.