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Finding the Fourth Proportional to 493,496.85, 740,374.41 and 173,635.74

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Solution

The fourth proportional to 493,496.85, 740,374.41 and 173,635.74 is: 260,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,496.85 : 740,374.41 = 173,635.74 : x
  2. Step 2: Convert to fraction form
    493,496.85/740,374.41 = 173,635.74/x
  3. Step 3: Cross multiply
    493,496.85x = 740,374.41 × 173,635.74
  4. Step 4: Simplify right side
    493,496.85x = 128,555,458,557.41
  5. Step 5: Solve for x
    x = 128,555,458,557.41/493,496.85
  6. Step 6: Final answer
    x = 260,499.05

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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.