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Finding the Fourth Proportional to 393,300.80, 590,258.40 and 182,964.80

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Solution

The fourth proportional to 393,300.80, 590,258.40 and 182,964.80 is: 274,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,300.80 : 590,258.40 = 182,964.80 : x
  2. Step 2: Convert to fraction form
    393,300.80/590,258.40 = 182,964.80/x
  3. Step 3: Cross multiply
    393,300.80x = 590,258.40 × 182,964.80
  4. Step 4: Simplify right side
    393,300.80x = 107,996,510,104.32
  5. Step 5: Solve for x
    x = 107,996,510,104.32/393,300.80
  6. Step 6: Final answer
    x = 274,590.11

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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.