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Finding the Fourth Proportional to 264,533.92, 396,386.16 and 224,928.16

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Solution

The fourth proportional to 264,533.92, 396,386.16 and 224,928.16 is: 337,039.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,533.92 : 396,386.16 = 224,928.16 : x
  2. Step 2: Convert to fraction form
    264,533.92/396,386.16 = 224,928.16/x
  3. Step 3: Cross multiply
    264,533.92x = 396,386.16 × 224,928.16
  4. Step 4: Simplify right side
    264,533.92x = 89,158,409,618.27
  5. Step 5: Solve for x
    x = 89,158,409,618.27/264,533.92
  6. Step 6: Final answer
    x = 337,039.61

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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.