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Finding the Fourth Proportional to 393,631.80, 590,534.10 and 194,047.80

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Solution

The fourth proportional to 393,631.80, 590,534.10 and 194,047.80 is: 291,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,631.80 : 590,534.10 = 194,047.80 : x
  2. Step 2: Convert to fraction form
    393,631.80/590,534.10 = 194,047.80/x
  3. Step 3: Cross multiply
    393,631.80x = 590,534.10 × 194,047.80
  4. Step 4: Simplify right side
    393,631.80x = 114,591,842,929.98
  5. Step 5: Solve for x
    x = 114,591,842,929.98/393,631.80
  6. Step 6: Final answer
    x = 291,114.29

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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.