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Finding the Fourth Proportional to 264,423.68, 396,786.72 and 262,285.28

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Solution

The fourth proportional to 264,423.68, 396,786.72 and 262,285.28 is: 393,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,423.68 : 396,786.72 = 262,285.28 : x
  2. Step 2: Convert to fraction form
    264,423.68/396,786.72 = 262,285.28/x
  3. Step 3: Cross multiply
    264,423.68x = 396,786.72 × 262,285.28
  4. Step 4: Simplify right side
    264,423.68x = 104,071,315,955.48
  5. Step 5: Solve for x
    x = 104,071,315,955.48/264,423.68
  6. Step 6: Final answer
    x = 393,577.90

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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.