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Finding the Fourth Proportional to 323,229.05, 446,051.79 and 178,032.02

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Solution

The fourth proportional to 323,229.05, 446,051.79 and 178,032.02 is: 245,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,229.05 : 446,051.79 = 178,032.02 : x
  2. Step 2: Convert to fraction form
    323,229.05/446,051.79 = 178,032.02/x
  3. Step 3: Cross multiply
    323,229.05x = 446,051.79 × 178,032.02
  4. Step 4: Simplify right side
    323,229.05x = 79,411,501,198.32
  5. Step 5: Solve for x
    x = 79,411,501,198.32/323,229.05
  6. Step 6: Final answer
    x = 245,681.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.