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Finding the Fourth Proportional to 309,926.98, 427,214.01 and 202,443.22

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Solution

The fourth proportional to 309,926.98, 427,214.01 and 202,443.22 is: 279,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,926.98 : 427,214.01 = 202,443.22 : x
  2. Step 2: Convert to fraction form
    309,926.98/427,214.01 = 202,443.22/x
  3. Step 3: Cross multiply
    309,926.98x = 427,214.01 × 202,443.22
  4. Step 4: Simplify right side
    309,926.98x = 86,486,579,813.51
  5. Step 5: Solve for x
    x = 86,486,579,813.51/309,926.98
  6. Step 6: Final answer
    x = 279,054.70

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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.