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Finding the Fourth Proportional to 457,007.94, 631,874.85 and 400,256.64

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Solution

The fourth proportional to 457,007.94, 631,874.85 and 400,256.64 is: 553,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,007.94 : 631,874.85 = 400,256.64 : x
  2. Step 2: Convert to fraction form
    457,007.94/631,874.85 = 400,256.64/x
  3. Step 3: Cross multiply
    457,007.94x = 631,874.85 × 400,256.64
  4. Step 4: Simplify right side
    457,007.94x = 252,912,104,361.50
  5. Step 5: Solve for x
    x = 252,912,104,361.50/457,007.94
  6. Step 6: Final answer
    x = 553,408.56

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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.