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Finding the Fourth Proportional to 333,821.62, 500,130.39 and 205,514.61

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Solution

The fourth proportional to 333,821.62, 500,130.39 and 205,514.61 is: 307,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,821.62 : 500,130.39 = 205,514.61 : x
  2. Step 2: Convert to fraction form
    333,821.62/500,130.39 = 205,514.61/x
  3. Step 3: Cross multiply
    333,821.62x = 500,130.39 × 205,514.61
  4. Step 4: Simplify right side
    333,821.62x = 102,784,102,050.00
  5. Step 5: Solve for x
    x = 102,784,102,050.00/333,821.62
  6. Step 6: Final answer
    x = 307,901.28

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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.