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Finding the Fourth Proportional to 456,463.72, 629,967 and 262,877.77

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Solution

The fourth proportional to 456,463.72, 629,967 and 262,877.77 is: 362,798.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,463.72 : 629,967 = 262,877.77 : x
  2. Step 2: Convert to fraction form
    456,463.72/629,967 = 262,877.77/x
  3. Step 3: Cross multiply
    456,463.72x = 629,967 × 262,877.77
  4. Step 4: Simplify right side
    456,463.72x = 165,604,320,133.59
  5. Step 5: Solve for x
    x = 165,604,320,133.59/456,463.72
  6. Step 6: Final answer
    x = 362,798.43

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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.