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Finding the Fourth Proportional to 577,828.89, 866,735.64 and 198,756.18

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Solution

The fourth proportional to 577,828.89, 866,735.64 and 198,756.18 is: 298,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,828.89 : 866,735.64 = 198,756.18 : x
  2. Step 2: Convert to fraction form
    577,828.89/866,735.64 = 198,756.18/x
  3. Step 3: Cross multiply
    577,828.89x = 866,735.64 × 198,756.18
  4. Step 4: Simplify right side
    577,828.89x = 172,269,064,876.26
  5. Step 5: Solve for x
    x = 172,269,064,876.26/577,828.89
  6. Step 6: Final answer
    x = 298,131.62

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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.