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Finding the Fourth Proportional to 474,288.97, 711,713.52 and 174,978.58

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Solution

The fourth proportional to 474,288.97, 711,713.52 and 174,978.58 is: 262,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,288.97 : 711,713.52 = 174,978.58 : x
  2. Step 2: Convert to fraction form
    474,288.97/711,713.52 = 174,978.58/x
  3. Step 3: Cross multiply
    474,288.97x = 711,713.52 × 174,978.58
  4. Step 4: Simplify right side
    474,288.97x = 124,534,621,096.40
  5. Step 5: Solve for x
    x = 124,534,621,096.40/474,288.97
  6. Step 6: Final answer
    x = 262,571.19

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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.