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Finding the Fourth Proportional to 414,528.30, 620,505.32 and 224,516.74

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Solution

The fourth proportional to 414,528.30, 620,505.32 and 224,516.74 is: 336,077.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,528.30 : 620,505.32 = 224,516.74 : x
  2. Step 2: Convert to fraction form
    414,528.30/620,505.32 = 224,516.74/x
  3. Step 3: Cross multiply
    414,528.30x = 620,505.32 × 224,516.74
  4. Step 4: Simplify right side
    414,528.30x = 139,313,831,599.06
  5. Step 5: Solve for x
    x = 139,313,831,599.06/414,528.30
  6. Step 6: Final answer
    x = 336,077.97

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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.