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Finding the Fourth Proportional to 264,685.64, 396,795.02 and 98,357

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Solution

The fourth proportional to 264,685.64, 396,795.02 and 98,357 is: 147,448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,685.64 : 396,795.02 = 98,357 : x
  2. Step 2: Convert to fraction form
    264,685.64/396,795.02 = 98,357/x
  3. Step 3: Cross multiply
    264,685.64x = 396,795.02 × 98,357
  4. Step 4: Simplify right side
    264,685.64x = 39,027,567,782.14
  5. Step 5: Solve for x
    x = 39,027,567,782.14/264,685.64
  6. Step 6: Final answer
    x = 147,448.75

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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.