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Finding the Fourth Proportional to 562,998.25, 776,943.05 and 336,643.75

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Solution

The fourth proportional to 562,998.25, 776,943.05 and 336,643.75 is: 464,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,998.25 : 776,943.05 = 336,643.75 : x
  2. Step 2: Convert to fraction form
    562,998.25/776,943.05 = 336,643.75/x
  3. Step 3: Cross multiply
    562,998.25x = 776,943.05 × 336,643.75
  4. Step 4: Simplify right side
    562,998.25x = 261,553,021,888.44
  5. Step 5: Solve for x
    x = 261,553,021,888.44/562,998.25
  6. Step 6: Final answer
    x = 464,571.64

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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.