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Finding the Fourth Proportional to 416,604.96, 624,406.32 and 239,225.76

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Solution

The fourth proportional to 416,604.96, 624,406.32 and 239,225.76 is: 358,550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,604.96 : 624,406.32 = 239,225.76 : x
  2. Step 2: Convert to fraction form
    416,604.96/624,406.32 = 239,225.76/x
  3. Step 3: Cross multiply
    416,604.96x = 624,406.32 × 239,225.76
  4. Step 4: Simplify right side
    416,604.96x = 149,374,076,450.80
  5. Step 5: Solve for x
    x = 149,374,076,450.80/416,604.96
  6. Step 6: Final answer
    x = 358,550.88

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1.5x scale

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.