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Finding the Fourth Proportional to 393,597.78, 543,158.13 and 223,828.02

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Solution

The fourth proportional to 393,597.78, 543,158.13 and 223,828.02 is: 308,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,597.78 : 543,158.13 = 223,828.02 : x
  2. Step 2: Convert to fraction form
    393,597.78/543,158.13 = 223,828.02/x
  3. Step 3: Cross multiply
    393,597.78x = 543,158.13 × 223,828.02
  4. Step 4: Simplify right side
    393,597.78x = 121,574,008,784.80
  5. Step 5: Solve for x
    x = 121,574,008,784.80/393,597.78
  6. Step 6: Final answer
    x = 308,878.80

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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.