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Finding the Fourth Proportional to 568,645.59, 852,683.17 and 189,433.00

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Solution

The fourth proportional to 568,645.59, 852,683.17 and 189,433.00 is: 284,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,645.59 : 852,683.17 = 189,433.00 : x
  2. Step 2: Convert to fraction form
    568,645.59/852,683.17 = 189,433.00/x
  3. Step 3: Cross multiply
    568,645.59x = 852,683.17 × 189,433.00
  4. Step 4: Simplify right side
    568,645.59x = 161,526,333,489.07
  5. Step 5: Solve for x
    x = 161,526,333,489.07/568,645.59
  6. Step 6: Final answer
    x = 284,054.49

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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.