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Finding the Fourth Proportional to 463,384.80, 695,077.20 and 130,960.80

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Solution

The fourth proportional to 463,384.80, 695,077.20 and 130,960.80 is: 196,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,384.80 : 695,077.20 = 130,960.80 : x
  2. Step 2: Convert to fraction form
    463,384.80/695,077.20 = 130,960.80/x
  3. Step 3: Cross multiply
    463,384.80x = 695,077.20 × 130,960.80
  4. Step 4: Simplify right side
    463,384.80x = 91,027,866,173.76
  5. Step 5: Solve for x
    x = 91,027,866,173.76/463,384.80
  6. Step 6: Final answer
    x = 196,441.20

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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.