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Finding the Fourth Proportional to 273,564, 409,505.16 and 233,207.67

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Solution

The fourth proportional to 273,564, 409,505.16 and 233,207.67 is: 349,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,564 : 409,505.16 = 233,207.67 : x
  2. Step 2: Convert to fraction form
    273,564/409,505.16 = 233,207.67/x
  3. Step 3: Cross multiply
    273,564x = 409,505.16 × 233,207.67
  4. Step 4: Simplify right side
    273,564x = 95,499,744,216.58
  5. Step 5: Solve for x
    x = 95,499,744,216.58/273,564
  6. Step 6: Final answer
    x = 349,094.71

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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.