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Finding the Fourth Proportional to 474,654.24, 712,261.44 and 175,346.64

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Solution

The fourth proportional to 474,654.24, 712,261.44 and 175,346.64 is: 263,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,654.24 : 712,261.44 = 175,346.64 : x
  2. Step 2: Convert to fraction form
    474,654.24/712,261.44 = 175,346.64/x
  3. Step 3: Cross multiply
    474,654.24x = 712,261.44 × 175,346.64
  4. Step 4: Simplify right side
    474,654.24x = 124,892,650,305.56
  5. Step 5: Solve for x
    x = 124,892,650,305.56/474,654.24
  6. Step 6: Final answer
    x = 263,123.43

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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.