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Finding the Fourth Proportional to 458,174.04, 632,311.74 and 256,983

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Solution

The fourth proportional to 458,174.04, 632,311.74 and 256,983 is: 354,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,174.04 : 632,311.74 = 256,983 : x
  2. Step 2: Convert to fraction form
    458,174.04/632,311.74 = 256,983/x
  3. Step 3: Cross multiply
    458,174.04x = 632,311.74 × 256,983
  4. Step 4: Simplify right side
    458,174.04x = 162,493,367,880.42
  5. Step 5: Solve for x
    x = 162,493,367,880.42/458,174.04
  6. Step 6: Final answer
    x = 354,654.24

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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.