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Finding the Fourth Proportional to 294,916.50, 406,869.24 and 181,542.42

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Solution

The fourth proportional to 294,916.50, 406,869.24 and 181,542.42 is: 250,457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,916.50 : 406,869.24 = 181,542.42 : x
  2. Step 2: Convert to fraction form
    294,916.50/406,869.24 = 181,542.42/x
  3. Step 3: Cross multiply
    294,916.50x = 406,869.24 × 181,542.42
  4. Step 4: Simplify right side
    294,916.50x = 73,864,026,453.16
  5. Step 5: Solve for x
    x = 73,864,026,453.16/294,916.50
  6. Step 6: Final answer
    x = 250,457.42

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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.