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Finding the Fourth Proportional to 357,546.33, 493,293.48 and 202,476.42

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Solution

The fourth proportional to 357,546.33, 493,293.48 and 202,476.42 is: 279,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,546.33 : 493,293.48 = 202,476.42 : x
  2. Step 2: Convert to fraction form
    357,546.33/493,293.48 = 202,476.42/x
  3. Step 3: Cross multiply
    357,546.33x = 493,293.48 × 202,476.42
  4. Step 4: Simplify right side
    357,546.33x = 99,880,297,839.74
  5. Step 5: Solve for x
    x = 99,880,297,839.74/357,546.33
  6. Step 6: Final answer
    x = 279,349.25

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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.