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Finding the Fourth Proportional to 420,595.38, 580,629.74 and 259,539.12

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Solution

The fourth proportional to 420,595.38, 580,629.74 and 259,539.12 is: 358,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,595.38 : 580,629.74 = 259,539.12 : x
  2. Step 2: Convert to fraction form
    420,595.38/580,629.74 = 259,539.12/x
  3. Step 3: Cross multiply
    420,595.38x = 580,629.74 × 259,539.12
  4. Step 4: Simplify right side
    420,595.38x = 150,696,130,467.73
  5. Step 5: Solve for x
    x = 150,696,130,467.73/420,595.38
  6. Step 6: Final answer
    x = 358,292.41

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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.