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Finding the Fourth Proportional to 577,686.70, 866,317.83 and 198,499.84

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Solution

The fourth proportional to 577,686.70, 866,317.83 and 198,499.84 is: 297,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,686.70 : 866,317.83 = 198,499.84 : x
  2. Step 2: Convert to fraction form
    577,686.70/866,317.83 = 198,499.84/x
  3. Step 3: Cross multiply
    577,686.70x = 866,317.83 × 198,499.84
  4. Step 4: Simplify right side
    577,686.70x = 171,963,950,644.15
  5. Step 5: Solve for x
    x = 171,963,950,644.15/577,686.70
  6. Step 6: Final answer
    x = 297,676.84

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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.