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Finding the Fourth Proportional to 504,361.64, 756,394.80 and 415,394.48

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Solution

The fourth proportional to 504,361.64, 756,394.80 and 415,394.48 is: 622,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,361.64 : 756,394.80 = 415,394.48 : x
  2. Step 2: Convert to fraction form
    504,361.64/756,394.80 = 415,394.48/x
  3. Step 3: Cross multiply
    504,361.64x = 756,394.80 × 415,394.48
  4. Step 4: Simplify right side
    504,361.64x = 314,202,224,620.70
  5. Step 5: Solve for x
    x = 314,202,224,620.70/504,361.64
  6. Step 6: Final answer
    x = 622,970.11

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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.