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Finding the Fourth Proportional to 474,266.02, 711,399.03 and 193,783

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Solution

The fourth proportional to 474,266.02, 711,399.03 and 193,783 is: 290,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,266.02 : 711,399.03 = 193,783 : x
  2. Step 2: Convert to fraction form
    474,266.02/711,399.03 = 193,783/x
  3. Step 3: Cross multiply
    474,266.02x = 711,399.03 × 193,783
  4. Step 4: Simplify right side
    474,266.02x = 137,857,038,230.49
  5. Step 5: Solve for x
    x = 137,857,038,230.49/474,266.02
  6. Step 6: Final answer
    x = 290,674.50

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Similar ratio
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1.5x scale

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.