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Finding the Fourth Proportional to 415,972.44, 574,047 and 252,582.48

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Solution

The fourth proportional to 415,972.44, 574,047 and 252,582.48 is: 348,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,972.44 : 574,047 = 252,582.48 : x
  2. Step 2: Convert to fraction form
    415,972.44/574,047 = 252,582.48/x
  3. Step 3: Cross multiply
    415,972.44x = 574,047 × 252,582.48
  4. Step 4: Simplify right side
    415,972.44x = 144,994,214,896.56
  5. Step 5: Solve for x
    x = 144,994,214,896.56/415,972.44
  6. Step 6: Final answer
    x = 348,566.88

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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.