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Finding the Fourth Proportional to 465,092.34, 641,386.50 and 304,085.40

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Solution

The fourth proportional to 465,092.34, 641,386.50 and 304,085.40 is: 419,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,092.34 : 641,386.50 = 304,085.40 : x
  2. Step 2: Convert to fraction form
    465,092.34/641,386.50 = 304,085.40/x
  3. Step 3: Cross multiply
    465,092.34x = 641,386.50 × 304,085.40
  4. Step 4: Simplify right side
    465,092.34x = 195,036,270,407.10
  5. Step 5: Solve for x
    x = 195,036,270,407.10/465,092.34
  6. Step 6: Final answer
    x = 419,349.56

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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.