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Finding the Fourth Proportional to 333,809.10, 500,188.37 and 258,092.53

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Solution

The fourth proportional to 333,809.10, 500,188.37 and 258,092.53 is: 386,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,809.10 : 500,188.37 = 258,092.53 : x
  2. Step 2: Convert to fraction form
    333,809.10/500,188.37 = 258,092.53/x
  3. Step 3: Cross multiply
    333,809.10x = 500,188.37 × 258,092.53
  4. Step 4: Simplify right side
    333,809.10x = 129,094,879,348.94
  5. Step 5: Solve for x
    x = 129,094,879,348.94/333,809.10
  6. Step 6: Final answer
    x = 386,732.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.