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Finding the Fourth Proportional to 517,788.66, 714,180.28 and 345,619.82

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Solution

The fourth proportional to 517,788.66, 714,180.28 and 345,619.82 is: 476,709.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,788.66 : 714,180.28 = 345,619.82 : x
  2. Step 2: Convert to fraction form
    517,788.66/714,180.28 = 345,619.82/x
  3. Step 3: Cross multiply
    517,788.66x = 714,180.28 × 345,619.82
  4. Step 4: Simplify right side
    517,788.66x = 246,834,859,821.15
  5. Step 5: Solve for x
    x = 246,834,859,821.15/517,788.66
  6. Step 6: Final answer
    x = 476,709.67

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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.