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Finding the Fourth Proportional to 357,546.96, 493,294.35 and 202,477.05

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Solution

The fourth proportional to 357,546.96, 493,294.35 and 202,477.05 is: 279,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,546.96 : 493,294.35 = 202,477.05 : x
  2. Step 2: Convert to fraction form
    357,546.96/493,294.35 = 202,477.05/x
  3. Step 3: Cross multiply
    357,546.96x = 493,294.35 × 202,477.05
  4. Step 4: Simplify right side
    357,546.96x = 99,880,784,769.67
  5. Step 5: Solve for x
    x = 99,880,784,769.67/357,546.96
  6. Step 6: Final answer
    x = 279,350.12

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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.