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Finding the Fourth Proportional to 415,345.64, 622,604.39 and 175,520.03

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Solution

The fourth proportional to 415,345.64, 622,604.39 and 175,520.03 is: 263,105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,345.64 : 622,604.39 = 175,520.03 : x
  2. Step 2: Convert to fraction form
    415,345.64/622,604.39 = 175,520.03/x
  3. Step 3: Cross multiply
    415,345.64x = 622,604.39 × 175,520.03
  4. Step 4: Simplify right side
    415,345.64x = 109,279,537,220.31
  5. Step 5: Solve for x
    x = 109,279,537,220.31/415,345.64
  6. Step 6: Final answer
    x = 263,105.06

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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.