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Finding the Fourth Proportional to 474,115.24, 711,173.54 and 193,632.49

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Solution

The fourth proportional to 474,115.24, 711,173.54 and 193,632.49 is: 290,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,115.24 : 711,173.54 = 193,632.49 : x
  2. Step 2: Convert to fraction form
    474,115.24/711,173.54 = 193,632.49/x
  3. Step 3: Cross multiply
    474,115.24x = 711,173.54 × 193,632.49
  4. Step 4: Simplify right side
    474,115.24x = 137,706,303,372.32
  5. Step 5: Solve for x
    x = 137,706,303,372.32/474,115.24
  6. Step 6: Final answer
    x = 290,449.01

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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.