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Finding the Fourth Proportional to 472,744.63, 652,396.85 and 257,892.67

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Solution

The fourth proportional to 472,744.63, 652,396.85 and 257,892.67 is: 355,896.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,744.63 : 652,396.85 = 257,892.67 : x
  2. Step 2: Convert to fraction form
    472,744.63/652,396.85 = 257,892.67/x
  3. Step 3: Cross multiply
    472,744.63x = 652,396.85 × 257,892.67
  4. Step 4: Simplify right side
    472,744.63x = 168,248,365,546.09
  5. Step 5: Solve for x
    x = 168,248,365,546.09/472,744.63
  6. Step 6: Final answer
    x = 355,896.94

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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.