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Finding the Fourth Proportional to 382,765.24, 573,981.90 and 116,463.88

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Solution

The fourth proportional to 382,765.24, 573,981.90 and 116,463.88 is: 174,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,765.24 : 573,981.90 = 116,463.88 : x
  2. Step 2: Convert to fraction form
    382,765.24/573,981.90 = 116,463.88/x
  3. Step 3: Cross multiply
    382,765.24x = 573,981.90 × 116,463.88
  4. Step 4: Simplify right side
    382,765.24x = 66,848,159,123.77
  5. Step 5: Solve for x
    x = 66,848,159,123.77/382,765.24
  6. Step 6: Final answer
    x = 174,645.32

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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.