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Finding the Fourth Proportional to 465,411.60, 698,117.40 and 443,760.30

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Solution

The fourth proportional to 465,411.60, 698,117.40 and 443,760.30 is: 665,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,411.60 : 698,117.40 = 443,760.30 : x
  2. Step 2: Convert to fraction form
    465,411.60/698,117.40 = 443,760.30/x
  3. Step 3: Cross multiply
    465,411.60x = 698,117.40 × 443,760.30
  4. Step 4: Simplify right side
    465,411.60x = 309,796,786,859.22
  5. Step 5: Solve for x
    x = 309,796,786,859.22/465,411.60
  6. Step 6: Final answer
    x = 665,640.45

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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.