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Finding the Fourth Proportional to 377,145.45, 565,344.48 and 177,107.76

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Solution

The fourth proportional to 377,145.45, 565,344.48 and 177,107.76 is: 265,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,145.45 : 565,344.48 = 177,107.76 : x
  2. Step 2: Convert to fraction form
    377,145.45/565,344.48 = 177,107.76/x
  3. Step 3: Cross multiply
    377,145.45x = 565,344.48 × 177,107.76
  4. Step 4: Simplify right side
    377,145.45x = 100,126,894,481.17
  5. Step 5: Solve for x
    x = 100,126,894,481.17/377,145.45
  6. Step 6: Final answer
    x = 265,486.15

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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.