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Finding the Fourth Proportional to 264,532.92, 396,384.66 and 224,927.16

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Solution

The fourth proportional to 264,532.92, 396,384.66 and 224,927.16 is: 337,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,532.92 : 396,384.66 = 224,927.16 : x
  2. Step 2: Convert to fraction form
    264,532.92/396,384.66 = 224,927.16/x
  3. Step 3: Cross multiply
    264,532.92x = 396,384.66 × 224,927.16
  4. Step 4: Simplify right side
    264,532.92x = 89,157,675,841.37
  5. Step 5: Solve for x
    x = 89,157,675,841.37/264,532.92
  6. Step 6: Final answer
    x = 337,038.11

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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.