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Finding the Fourth Proportional to 474,533.56, 711,862.98 and 175,224.52

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Solution

The fourth proportional to 474,533.56, 711,862.98 and 175,224.52 is: 262,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,533.56 : 711,862.98 = 175,224.52 : x
  2. Step 2: Convert to fraction form
    474,533.56/711,862.98 = 175,224.52/x
  3. Step 3: Cross multiply
    474,533.56x = 711,862.98 × 175,224.52
  4. Step 4: Simplify right side
    474,533.56x = 124,735,848,976.27
  5. Step 5: Solve for x
    x = 124,735,848,976.27/474,533.56
  6. Step 6: Final answer
    x = 262,859.91

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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.