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Finding the Fourth Proportional to 614,949.40, 922,596.90 and 299,416.60

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Solution

The fourth proportional to 614,949.40, 922,596.90 and 299,416.60 is: 449,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,949.40 : 922,596.90 = 299,416.60 : x
  2. Step 2: Convert to fraction form
    614,949.40/922,596.90 = 299,416.60/x
  3. Step 3: Cross multiply
    614,949.40x = 922,596.90 × 299,416.60
  4. Step 4: Simplify right side
    614,949.40x = 276,240,826,968.54
  5. Step 5: Solve for x
    x = 276,240,826,968.54/614,949.40
  6. Step 6: Final answer
    x = 449,209.04

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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.