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Finding the Fourth Proportional to 238,634.78, 357,173.28 and 175,438.17

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Solution

The fourth proportional to 238,634.78, 357,173.28 and 175,438.17 is: 262,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,634.78 : 357,173.28 = 175,438.17 : x
  2. Step 2: Convert to fraction form
    238,634.78/357,173.28 = 175,438.17/x
  3. Step 3: Cross multiply
    238,634.78x = 357,173.28 × 175,438.17
  4. Step 4: Simplify right side
    238,634.78x = 62,661,826,616.10
  5. Step 5: Solve for x
    x = 62,661,826,616.10/238,634.78
  6. Step 6: Final answer
    x = 262,584.64

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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.