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Finding the Fourth Proportional to 490,701.56, 736,052.28 and 158,277.56

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Solution

The fourth proportional to 490,701.56, 736,052.28 and 158,277.56 is: 237,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,701.56 : 736,052.28 = 158,277.56 : x
  2. Step 2: Convert to fraction form
    490,701.56/736,052.28 = 158,277.56/x
  3. Step 3: Cross multiply
    490,701.56x = 736,052.28 × 158,277.56
  4. Step 4: Simplify right side
    490,701.56x = 116,500,558,910.84
  5. Step 5: Solve for x
    x = 116,500,558,910.84/490,701.56
  6. Step 6: Final answer
    x = 237,416.32

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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.