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Finding the Fourth Proportional to 376,735.76, 564,164 and 263,886.56

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Solution

The fourth proportional to 376,735.76, 564,164 and 263,886.56 is: 395,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,735.76 : 564,164 = 263,886.56 : x
  2. Step 2: Convert to fraction form
    376,735.76/564,164 = 263,886.56/x
  3. Step 3: Cross multiply
    376,735.76x = 564,164 × 263,886.56
  4. Step 4: Simplify right side
    376,735.76x = 148,875,297,235.84
  5. Step 5: Solve for x
    x = 148,875,297,235.84/376,735.76
  6. Step 6: Final answer
    x = 395,171.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.