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Finding the Fourth Proportional to 357,546.34, 493,293.49 and 202,476.39

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Solution

The fourth proportional to 357,546.34, 493,293.49 and 202,476.39 is: 279,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,546.34 : 493,293.49 = 202,476.39 : x
  2. Step 2: Convert to fraction form
    357,546.34/493,293.49 = 202,476.39/x
  3. Step 3: Cross multiply
    357,546.34x = 493,293.49 × 202,476.39
  4. Step 4: Simplify right side
    357,546.34x = 99,880,284,559.51
  5. Step 5: Solve for x
    x = 99,880,284,559.51/357,546.34
  6. Step 6: Final answer
    x = 279,349.20

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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.