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Finding the Fourth Proportional to 471,522.56, 650,715.81 and 256,676.95

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Solution

The fourth proportional to 471,522.56, 650,715.81 and 256,676.95 is: 354,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,522.56 : 650,715.81 = 256,676.95 : x
  2. Step 2: Convert to fraction form
    471,522.56/650,715.81 = 256,676.95/x
  3. Step 3: Cross multiply
    471,522.56x = 650,715.81 × 256,676.95
  4. Step 4: Simplify right side
    471,522.56x = 167,023,746,174.00
  5. Step 5: Solve for x
    x = 167,023,746,174.00/471,522.56
  6. Step 6: Final answer
    x = 354,222.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.