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Finding the Fourth Proportional to 375,714.87, 563,757.12 and 176,000.73

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Solution

The fourth proportional to 375,714.87, 563,757.12 and 176,000.73 is: 264,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,714.87 : 563,757.12 = 176,000.73 : x
  2. Step 2: Convert to fraction form
    375,714.87/563,757.12 = 176,000.73/x
  3. Step 3: Cross multiply
    375,714.87x = 563,757.12 × 176,000.73
  4. Step 4: Simplify right side
    375,714.87x = 99,221,664,662.70
  5. Step 5: Solve for x
    x = 99,221,664,662.70/375,714.87
  6. Step 6: Final answer
    x = 264,087.67

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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.