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Finding the Fourth Proportional to 358,160.48, 494,297.72 and 205,218.96

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Solution

The fourth proportional to 358,160.48, 494,297.72 and 205,218.96 is: 283,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,160.48 : 494,297.72 = 205,218.96 : x
  2. Step 2: Convert to fraction form
    358,160.48/494,297.72 = 205,218.96/x
  3. Step 3: Cross multiply
    358,160.48x = 494,297.72 × 205,218.96
  4. Step 4: Simplify right side
    358,160.48x = 101,439,264,028.77
  5. Step 5: Solve for x
    x = 101,439,264,028.77/358,160.48
  6. Step 6: Final answer
    x = 283,222.94

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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.