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Finding the Fourth Proportional to 541,940.07, 813,656.42 and 275,886.06

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Solution

The fourth proportional to 541,940.07, 813,656.42 and 275,886.06 is: 414,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,940.07 : 813,656.42 = 275,886.06 : x
  2. Step 2: Convert to fraction form
    541,940.07/813,656.42 = 275,886.06/x
  3. Step 3: Cross multiply
    541,940.07x = 813,656.42 × 275,886.06
  4. Step 4: Simplify right side
    541,940.07x = 224,476,463,907.51
  5. Step 5: Solve for x
    x = 224,476,463,907.51/541,940.07
  6. Step 6: Final answer
    x = 414,209.02

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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.