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Finding the Fourth Proportional to 415,394.88, 622,678.24 and 175,569.28

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Solution

The fourth proportional to 415,394.88, 622,678.24 and 175,569.28 is: 263,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,394.88 : 622,678.24 = 175,569.28 : x
  2. Step 2: Convert to fraction form
    415,394.88/622,678.24 = 175,569.28/x
  3. Step 3: Cross multiply
    415,394.88x = 622,678.24 × 175,569.28
  4. Step 4: Simplify right side
    415,394.88x = 109,323,170,268.47
  5. Step 5: Solve for x
    x = 109,323,170,268.47/415,394.88
  6. Step 6: Final answer
    x = 263,178.91

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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.