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Finding the Fourth Proportional to 309,064.40, 463,769.40 and 131,541.20

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Solution

The fourth proportional to 309,064.40, 463,769.40 and 131,541.20 is: 197,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,064.40 : 463,769.40 = 131,541.20 : x
  2. Step 2: Convert to fraction form
    309,064.40/463,769.40 = 131,541.20/x
  3. Step 3: Cross multiply
    309,064.40x = 463,769.40 × 131,541.20
  4. Step 4: Simplify right side
    309,064.40x = 61,004,783,399.28
  5. Step 5: Solve for x
    x = 61,004,783,399.28/309,064.40
  6. Step 6: Final answer
    x = 197,385.35

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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.