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Finding the Fourth Proportional to 380,274.90, 524,783.25 and 210,505.38

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Solution

The fourth proportional to 380,274.90, 524,783.25 and 210,505.38 is: 290,499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,274.90 : 524,783.25 = 210,505.38 : x
  2. Step 2: Convert to fraction form
    380,274.90/524,783.25 = 210,505.38/x
  3. Step 3: Cross multiply
    380,274.90x = 524,783.25 × 210,505.38
  4. Step 4: Simplify right side
    380,274.90x = 110,469,697,458.89
  5. Step 5: Solve for x
    x = 110,469,697,458.89/380,274.90
  6. Step 6: Final answer
    x = 290,499.58

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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.