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Finding the Fourth Proportional to 568,647.84, 852,686.54 and 189,435.25

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Solution

The fourth proportional to 568,647.84, 852,686.54 and 189,435.25 is: 284,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,647.84 : 852,686.54 = 189,435.25 : x
  2. Step 2: Convert to fraction form
    568,647.84/852,686.54 = 189,435.25/x
  3. Step 3: Cross multiply
    568,647.84x = 852,686.54 × 189,435.25
  4. Step 4: Simplify right side
    568,647.84x = 161,528,888,705.60
  5. Step 5: Solve for x
    x = 161,528,888,705.60/568,647.84
  6. Step 6: Final answer
    x = 284,057.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.