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Finding the Fourth Proportional to 380,068.32, 570,299.20 and 275,748.32

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Solution

The fourth proportional to 380,068.32, 570,299.20 and 275,748.32 is: 413,765.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,068.32 : 570,299.20 = 275,748.32 : x
  2. Step 2: Convert to fraction form
    380,068.32/570,299.20 = 275,748.32/x
  3. Step 3: Cross multiply
    380,068.32x = 570,299.20 × 275,748.32
  4. Step 4: Simplify right side
    380,068.32x = 157,259,046,297.34
  5. Step 5: Solve for x
    x = 157,259,046,297.34/380,068.32
  6. Step 6: Final answer
    x = 413,765.20

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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.