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Finding the Fourth Proportional to 504,719.64, 757,222.46 and 205,415.02

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Solution

The fourth proportional to 504,719.64, 757,222.46 and 205,415.02 is: 308,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,719.64 : 757,222.46 = 205,415.02 : x
  2. Step 2: Convert to fraction form
    504,719.64/757,222.46 = 205,415.02/x
  3. Step 3: Cross multiply
    504,719.64x = 757,222.46 × 205,415.02
  4. Step 4: Simplify right side
    504,719.64x = 155,544,867,455.11
  5. Step 5: Solve for x
    x = 155,544,867,455.11/504,719.64
  6. Step 6: Final answer
    x = 308,180.73

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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.