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Finding the Fourth Proportional to 358,408.98, 537,691.23 and 109,084.50

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Solution

The fourth proportional to 358,408.98, 537,691.23 and 109,084.50 is: 163,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,408.98 : 537,691.23 = 109,084.50 : x
  2. Step 2: Convert to fraction form
    358,408.98/537,691.23 = 109,084.50/x
  3. Step 3: Cross multiply
    358,408.98x = 537,691.23 × 109,084.50
  4. Step 4: Simplify right side
    358,408.98x = 58,653,778,978.94
  5. Step 5: Solve for x
    x = 58,653,778,978.94/358,408.98
  6. Step 6: Final answer
    x = 163,650.42

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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.