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Finding the Fourth Proportional to 605,409.06, 835,470.27 and 333,478.14

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Solution

The fourth proportional to 605,409.06, 835,470.27 and 333,478.14 is: 460,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,409.06 : 835,470.27 = 333,478.14 : x
  2. Step 2: Convert to fraction form
    605,409.06/835,470.27 = 333,478.14/x
  3. Step 3: Cross multiply
    605,409.06x = 835,470.27 × 333,478.14
  4. Step 4: Simplify right side
    605,409.06x = 278,611,071,664.90
  5. Step 5: Solve for x
    x = 278,611,071,664.90/605,409.06
  6. Step 6: Final answer
    x = 460,203.01

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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.