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Finding the Fourth Proportional to 476,111.82, 657,032.51 and 261,255.48

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Solution

The fourth proportional to 476,111.82, 657,032.51 and 261,255.48 is: 360,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,111.82 : 657,032.51 = 261,255.48 : x
  2. Step 2: Convert to fraction form
    476,111.82/657,032.51 = 261,255.48/x
  3. Step 3: Cross multiply
    476,111.82x = 657,032.51 × 261,255.48
  4. Step 4: Simplify right side
    476,111.82x = 171,653,341,964.92
  5. Step 5: Solve for x
    x = 171,653,341,964.92/476,111.82
  6. Step 6: Final answer
    x = 360,531.57

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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.