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Finding the Fourth Proportional to 264,499.20, 396,918.90 and 146,255.40

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Solution

The fourth proportional to 264,499.20, 396,918.90 and 146,255.40 is: 219,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,499.20 : 396,918.90 = 146,255.40 : x
  2. Step 2: Convert to fraction form
    264,499.20/396,918.90 = 146,255.40/x
  3. Step 3: Cross multiply
    264,499.20x = 396,918.90 × 146,255.40
  4. Step 4: Simplify right side
    264,499.20x = 58,051,532,487.06
  5. Step 5: Solve for x
    x = 58,051,532,487.06/264,499.20
  6. Step 6: Final answer
    x = 219,477.16

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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.