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Finding the Fourth Proportional to 409,688.60, 614,532.90 and 326,744.60

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Solution

The fourth proportional to 409,688.60, 614,532.90 and 326,744.60 is: 490,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,688.60 : 614,532.90 = 326,744.60 : x
  2. Step 2: Convert to fraction form
    409,688.60/614,532.90 = 326,744.60/x
  3. Step 3: Cross multiply
    409,688.60x = 614,532.90 × 326,744.60
  4. Step 4: Simplify right side
    409,688.60x = 200,795,306,597.34
  5. Step 5: Solve for x
    x = 200,795,306,597.34/409,688.60
  6. Step 6: Final answer
    x = 490,116.90

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Why These Related Problems?

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