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Finding the Fourth Proportional to 476,506.46, 657,766.27 and 285,482.95

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Solution

The fourth proportional to 476,506.46, 657,766.27 and 285,482.95 is: 394,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,506.46 : 657,766.27 = 285,482.95 : x
  2. Step 2: Convert to fraction form
    476,506.46/657,766.27 = 285,482.95/x
  3. Step 3: Cross multiply
    476,506.46x = 657,766.27 × 285,482.95
  4. Step 4: Simplify right side
    476,506.46x = 187,781,053,882.54
  5. Step 5: Solve for x
    x = 187,781,053,882.54/476,506.46
  6. Step 6: Final answer
    x = 394,078.71

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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.