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Finding the Fourth Proportional to 501,396.56, 691,965.24 and 286,545.68

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Solution

The fourth proportional to 501,396.56, 691,965.24 and 286,545.68 is: 395,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,396.56 : 691,965.24 = 286,545.68 : x
  2. Step 2: Convert to fraction form
    501,396.56/691,965.24 = 286,545.68/x
  3. Step 3: Cross multiply
    501,396.56x = 691,965.24 × 286,545.68
  4. Step 4: Simplify right side
    501,396.56x = 198,279,650,232.16
  5. Step 5: Solve for x
    x = 198,279,650,232.16/501,396.56
  6. Step 6: Final answer
    x = 395,454.75

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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.