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Finding the Fourth Proportional to 284,213.28, 392,214.40 and 156,888.96

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Solution

The fourth proportional to 284,213.28, 392,214.40 and 156,888.96 is: 216,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,213.28 : 392,214.40 = 156,888.96 : x
  2. Step 2: Convert to fraction form
    284,213.28/392,214.40 = 156,888.96/x
  3. Step 3: Cross multiply
    284,213.28x = 392,214.40 × 156,888.96
  4. Step 4: Simplify right side
    284,213.28x = 61,534,109,313.02
  5. Step 5: Solve for x
    x = 61,534,109,313.02/284,213.28
  6. Step 6: Final answer
    x = 216,506.81

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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.