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Finding the Fourth Proportional to 321,596.64, 482,395.68 and 155,268

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Solution

The fourth proportional to 321,596.64, 482,395.68 and 155,268 is: 232,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,596.64 : 482,395.68 = 155,268 : x
  2. Step 2: Convert to fraction form
    321,596.64/482,395.68 = 155,268/x
  3. Step 3: Cross multiply
    321,596.64x = 482,395.68 × 155,268
  4. Step 4: Simplify right side
    321,596.64x = 74,900,612,442.24
  5. Step 5: Solve for x
    x = 74,900,612,442.24/321,596.64
  6. Step 6: Final answer
    x = 232,902.35

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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.