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Finding the Fourth Proportional to 306,495.80, 459,783.86 and 101,262.27

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Solution

The fourth proportional to 306,495.80, 459,783.86 and 101,262.27 is: 151,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495.80 : 459,783.86 = 101,262.27 : x
  2. Step 2: Convert to fraction form
    306,495.80/459,783.86 = 101,262.27/x
  3. Step 3: Cross multiply
    306,495.80x = 459,783.86 × 101,262.27
  4. Step 4: Simplify right side
    306,495.80x = 46,558,755,565.81
  5. Step 5: Solve for x
    x = 46,558,755,565.81/306,495.80
  6. Step 6: Final answer
    x = 151,906.67

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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.