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Finding the Fourth Proportional to 284,365.34, 392,433.85 and 168,178.40

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Solution

The fourth proportional to 284,365.34, 392,433.85 and 168,178.40 is: 232,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,365.34 : 392,433.85 = 168,178.40 : x
  2. Step 2: Convert to fraction form
    284,365.34/392,433.85 = 168,178.40/x
  3. Step 3: Cross multiply
    284,365.34x = 392,433.85 × 168,178.40
  4. Step 4: Simplify right side
    284,365.34x = 65,998,897,559.48
  5. Step 5: Solve for x
    x = 65,998,897,559.48/284,365.34
  6. Step 6: Final answer
    x = 232,091.92

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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.