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Finding the Fourth Proportional to 476,135.82, 657,077.47 and 261,274.01

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Solution

The fourth proportional to 476,135.82, 657,077.47 and 261,274.01 is: 360,563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,135.82 : 657,077.47 = 261,274.01 : x
  2. Step 2: Convert to fraction form
    476,135.82/657,077.47 = 261,274.01/x
  3. Step 3: Cross multiply
    476,135.82x = 657,077.47 × 261,274.01
  4. Step 4: Simplify right side
    476,135.82x = 171,677,261,528.98
  5. Step 5: Solve for x
    x = 171,677,261,528.98/476,135.82
  6. Step 6: Final answer
    x = 360,563.63

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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.