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Finding the Fourth Proportional to 393,662.56, 543,284.40 and 223,886.56

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Solution

The fourth proportional to 393,662.56, 543,284.40 and 223,886.56 is: 308,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,662.56 : 543,284.40 = 223,886.56 : x
  2. Step 2: Convert to fraction form
    393,662.56/543,284.40 = 223,886.56/x
  3. Step 3: Cross multiply
    393,662.56x = 543,284.40 × 223,886.56
  4. Step 4: Simplify right side
    393,662.56x = 121,634,075,417.66
  5. Step 5: Solve for x
    x = 121,634,075,417.66/393,662.56
  6. Step 6: Final answer
    x = 308,980.55

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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.