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Finding the Fourth Proportional to 421,141.69, 581,174.25 and 230,155.09

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Solution

The fourth proportional to 421,141.69, 581,174.25 and 230,155.09 is: 317,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,141.69 : 581,174.25 = 230,155.09 : x
  2. Step 2: Convert to fraction form
    421,141.69/581,174.25 = 230,155.09/x
  3. Step 3: Cross multiply
    421,141.69x = 581,174.25 × 230,155.09
  4. Step 4: Simplify right side
    421,141.69x = 133,760,209,498.42
  5. Step 5: Solve for x
    x = 133,760,209,498.42/421,141.69
  6. Step 6: Final answer
    x = 317,613.32

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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.