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Finding the Fourth Proportional to 264,435.30, 364,415.15 and 259,576.52

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Solution

The fourth proportional to 264,435.30, 364,415.15 and 259,576.52 is: 357,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,435.30 : 364,415.15 = 259,576.52 : x
  2. Step 2: Convert to fraction form
    264,435.30/364,415.15 = 259,576.52/x
  3. Step 3: Cross multiply
    264,435.30x = 364,415.15 × 259,576.52
  4. Step 4: Simplify right side
    264,435.30x = 94,593,615,299.14
  5. Step 5: Solve for x
    x = 94,593,615,299.14/264,435.30
  6. Step 6: Final answer
    x = 357,719.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.