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Finding the Fourth Proportional to 490,652.02, 735,977.76 and 130,823.02

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Solution

The fourth proportional to 490,652.02, 735,977.76 and 130,823.02 is: 196,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,652.02 : 735,977.76 = 130,823.02 : x
  2. Step 2: Convert to fraction form
    490,652.02/735,977.76 = 130,823.02/x
  3. Step 3: Cross multiply
    490,652.02x = 735,977.76 × 130,823.02
  4. Step 4: Simplify right side
    490,652.02x = 96,282,833,216.04
  5. Step 5: Solve for x
    x = 96,282,833,216.04/490,652.02
  6. Step 6: Final answer
    x = 196,234.46

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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.