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Finding the Fourth Proportional to 304,461.96, 420,017.32 and 197,066.50

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Solution

The fourth proportional to 304,461.96, 420,017.32 and 197,066.50 is: 271,861.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,461.96 : 420,017.32 = 197,066.50 : x
  2. Step 2: Convert to fraction form
    304,461.96/420,017.32 = 197,066.50/x
  3. Step 3: Cross multiply
    304,461.96x = 420,017.32 × 197,066.50
  4. Step 4: Simplify right side
    304,461.96x = 82,771,343,191.78
  5. Step 5: Solve for x
    x = 82,771,343,191.78/304,461.96
  6. Step 6: Final answer
    x = 271,861.03

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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.