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Finding the Fourth Proportional to 411,197.80, 616,796.70 and 130,743.40

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Solution

The fourth proportional to 411,197.80, 616,796.70 and 130,743.40 is: 196,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,197.80 : 616,796.70 = 130,743.40 : x
  2. Step 2: Convert to fraction form
    411,197.80/616,796.70 = 130,743.40/x
  3. Step 3: Cross multiply
    411,197.80x = 616,796.70 × 130,743.40
  4. Step 4: Simplify right side
    411,197.80x = 80,642,097,666.78
  5. Step 5: Solve for x
    x = 80,642,097,666.78/411,197.80
  6. Step 6: Final answer
    x = 196,115.10

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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.