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Finding the Fourth Proportional to 477,364.82, 658,768.29 and 262,506.47

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Solution

The fourth proportional to 477,364.82, 658,768.29 and 262,506.47 is: 362,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,364.82 : 658,768.29 = 262,506.47 : x
  2. Step 2: Convert to fraction form
    477,364.82/658,768.29 = 262,506.47/x
  3. Step 3: Cross multiply
    477,364.82x = 658,768.29 × 262,506.47
  4. Step 4: Simplify right side
    477,364.82x = 172,930,938,355.84
  5. Step 5: Solve for x
    x = 172,930,938,355.84/477,364.82
  6. Step 6: Final answer
    x = 362,261.59

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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.