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Finding the Fourth Proportional to 389,714.88, 584,633.46 and 165,075.96

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Solution

The fourth proportional to 389,714.88, 584,633.46 and 165,075.96 is: 247,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,714.88 : 584,633.46 = 165,075.96 : x
  2. Step 2: Convert to fraction form
    389,714.88/584,633.46 = 165,075.96/x
  3. Step 3: Cross multiply
    389,714.88x = 584,633.46 × 165,075.96
  4. Step 4: Simplify right side
    389,714.88x = 96,508,929,657.62
  5. Step 5: Solve for x
    x = 96,508,929,657.62/389,714.88
  6. Step 6: Final answer
    x = 247,639.84

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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.