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Finding the Fourth Proportional to 294,902.67, 406,123.47 and 265,581.38

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Solution

The fourth proportional to 294,902.67, 406,123.47 and 265,581.38 is: 365,743.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,902.67 : 406,123.47 = 265,581.38 : x
  2. Step 2: Convert to fraction form
    294,902.67/406,123.47 = 265,581.38/x
  3. Step 3: Cross multiply
    294,902.67x = 406,123.47 × 265,581.38
  4. Step 4: Simplify right side
    294,902.67x = 107,858,832,628.30
  5. Step 5: Solve for x
    x = 107,858,832,628.30/294,902.67
  6. Step 6: Final answer
    x = 365,743.83

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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.