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Finding the Fourth Proportional to 356,516.96, 491,946.63 and 213,224.72

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Solution

The fourth proportional to 356,516.96, 491,946.63 and 213,224.72 is: 294,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,516.96 : 491,946.63 = 213,224.72 : x
  2. Step 2: Convert to fraction form
    356,516.96/491,946.63 = 213,224.72/x
  3. Step 3: Cross multiply
    356,516.96x = 491,946.63 × 213,224.72
  4. Step 4: Simplify right side
    356,516.96x = 104,895,182,436.69
  5. Step 5: Solve for x
    x = 104,895,182,436.69/356,516.96
  6. Step 6: Final answer
    x = 294,222.14

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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.