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Finding the Fourth Proportional to 309,851.93, 427,486.01 and 202,484.21

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Solution

The fourth proportional to 309,851.93, 427,486.01 and 202,484.21 is: 279,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,851.93 : 427,486.01 = 202,484.21 : x
  2. Step 2: Convert to fraction form
    309,851.93/427,486.01 = 202,484.21/x
  3. Step 3: Cross multiply
    309,851.93x = 427,486.01 × 202,484.21
  4. Step 4: Simplify right side
    309,851.93x = 86,559,163,871.05
  5. Step 5: Solve for x
    x = 86,559,163,871.05/309,851.93
  6. Step 6: Final answer
    x = 279,356.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.