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Finding the Fourth Proportional to 289,206.10, 433,809.15 and 182,917.90

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Solution

The fourth proportional to 289,206.10, 433,809.15 and 182,917.90 is: 274,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,206.10 : 433,809.15 = 182,917.90 : x
  2. Step 2: Convert to fraction form
    289,206.10/433,809.15 = 182,917.90/x
  3. Step 3: Cross multiply
    289,206.10x = 433,809.15 × 182,917.90
  4. Step 4: Simplify right side
    289,206.10x = 79,351,458,718.79
  5. Step 5: Solve for x
    x = 79,351,458,718.79/289,206.10
  6. Step 6: Final answer
    x = 274,376.85

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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.