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Finding the Fourth Proportional to 409,092.87, 612,802.75 and 333,460.94

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Solution

The fourth proportional to 409,092.87, 612,802.75 and 333,460.94 is: 499,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,092.87 : 612,802.75 = 333,460.94 : x
  2. Step 2: Convert to fraction form
    409,092.87/612,802.75 = 333,460.94/x
  3. Step 3: Cross multiply
    409,092.87x = 612,802.75 × 333,460.94
  4. Step 4: Simplify right side
    409,092.87x = 204,345,779,382.28
  5. Step 5: Solve for x
    x = 204,345,779,382.28/409,092.87
  6. Step 6: Final answer
    x = 499,509.52

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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.