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Finding the Fourth Proportional to 474,564.20, 654,797.32 and 281,032.76

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Solution

The fourth proportional to 474,564.20, 654,797.32 and 281,032.76 is: 387,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,564.20 : 654,797.32 = 281,032.76 : x
  2. Step 2: Convert to fraction form
    474,564.20/654,797.32 = 281,032.76/x
  3. Step 3: Cross multiply
    474,564.20x = 654,797.32 × 281,032.76
  4. Step 4: Simplify right side
    474,564.20x = 184,019,498,080.20
  5. Step 5: Solve for x
    x = 184,019,498,080.20/474,564.20
  6. Step 6: Final answer
    x = 387,765.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.