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Finding the Fourth Proportional to 367,446.96, 507,037.68 and 206,319.60

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Solution

The fourth proportional to 367,446.96, 507,037.68 and 206,319.60 is: 284,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,446.96 : 507,037.68 = 206,319.60 : x
  2. Step 2: Convert to fraction form
    367,446.96/507,037.68 = 206,319.60/x
  3. Step 3: Cross multiply
    367,446.96x = 507,037.68 × 206,319.60
  4. Step 4: Simplify right side
    367,446.96x = 104,611,811,322.53
  5. Step 5: Solve for x
    x = 104,611,811,322.53/367,446.96
  6. Step 6: Final answer
    x = 284,699.08

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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.