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Finding the Fourth Proportional to 476,443.72, 657,490.26 and 261,578.44

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Solution

The fourth proportional to 476,443.72, 657,490.26 and 261,578.44 is: 360,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,443.72 : 657,490.26 = 261,578.44 : x
  2. Step 2: Convert to fraction form
    476,443.72/657,490.26 = 261,578.44/x
  3. Step 3: Cross multiply
    476,443.72x = 657,490.26 × 261,578.44
  4. Step 4: Simplify right side
    476,443.72x = 171,985,276,525.99
  5. Step 5: Solve for x
    x = 171,985,276,525.99/476,443.72
  6. Step 6: Final answer
    x = 360,977.11

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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.