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Finding the Fourth Proportional to 645,833.40, 966,446.10 and 409,289.40

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Solution

The fourth proportional to 645,833.40, 966,446.10 and 409,289.40 is: 612,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,833.40 : 966,446.10 = 409,289.40 : x
  2. Step 2: Convert to fraction form
    645,833.40/966,446.10 = 409,289.40/x
  3. Step 3: Cross multiply
    645,833.40x = 966,446.10 × 409,289.40
  4. Step 4: Simplify right side
    645,833.40x = 395,556,144,401.34
  5. Step 5: Solve for x
    x = 395,556,144,401.34/645,833.40
  6. Step 6: Final answer
    x = 612,473.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.