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Finding the Fourth Proportional to 309,273.88, 463,123.14 and 203,773.08

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Solution

The fourth proportional to 309,273.88, 463,123.14 and 203,773.08 is: 305,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,273.88 : 463,123.14 = 203,773.08 : x
  2. Step 2: Convert to fraction form
    309,273.88/463,123.14 = 203,773.08/x
  3. Step 3: Cross multiply
    309,273.88x = 463,123.14 × 203,773.08
  4. Step 4: Simplify right side
    309,273.88x = 94,372,028,657.07
  5. Step 5: Solve for x
    x = 94,372,028,657.07/309,273.88
  6. Step 6: Final answer
    x = 305,140.64

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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.