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Finding the Fourth Proportional to 411,361.80, 616,967.02 and 186,668.20

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Solution

The fourth proportional to 411,361.80, 616,967.02 and 186,668.20 is: 279,967.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,361.80 : 616,967.02 = 186,668.20 : x
  2. Step 2: Convert to fraction form
    411,361.80/616,967.02 = 186,668.20/x
  3. Step 3: Cross multiply
    411,361.80x = 616,967.02 × 186,668.20
  4. Step 4: Simplify right side
    411,361.80x = 115,168,123,082.76
  5. Step 5: Solve for x
    x = 115,168,123,082.76/411,361.80
  6. Step 6: Final answer
    x = 279,967.96

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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.