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Finding the Fourth Proportional to 458,734.38, 633,017.16 and 254,765.58

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Solution

The fourth proportional to 458,734.38, 633,017.16 and 254,765.58 is: 351,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,734.38 : 633,017.16 = 254,765.58 : x
  2. Step 2: Convert to fraction form
    458,734.38/633,017.16 = 254,765.58/x
  3. Step 3: Cross multiply
    458,734.38x = 633,017.16 × 254,765.58
  4. Step 4: Simplify right side
    458,734.38x = 161,270,983,917.35
  5. Step 5: Solve for x
    x = 161,270,983,917.35/458,734.38
  6. Step 6: Final answer
    x = 351,556.35

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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.