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Finding the Fourth Proportional to 409,381.22, 611,193.30 and 312,813.05

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Solution

The fourth proportional to 409,381.22, 611,193.30 and 312,813.05 is: 467,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,381.22 : 611,193.30 = 312,813.05 : x
  2. Step 2: Convert to fraction form
    409,381.22/611,193.30 = 312,813.05/x
  3. Step 3: Cross multiply
    409,381.22x = 611,193.30 × 312,813.05
  4. Step 4: Simplify right side
    409,381.22x = 191,189,237,256.60
  5. Step 5: Solve for x
    x = 191,189,237,256.60/409,381.22
  6. Step 6: Final answer
    x = 467,020.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.