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Finding the Fourth Proportional to 219,051.46, 328,577.55 and 52,839.46

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Solution

The fourth proportional to 219,051.46, 328,577.55 and 52,839.46 is: 79,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,051.46 : 328,577.55 = 52,839.46 : x
  2. Step 2: Convert to fraction form
    219,051.46/328,577.55 = 52,839.46/x
  3. Step 3: Cross multiply
    219,051.46x = 328,577.55 × 52,839.46
  4. Step 4: Simplify right side
    219,051.46x = 17,361,860,310.12
  5. Step 5: Solve for x
    x = 17,361,860,310.12/219,051.46
  6. Step 6: Final answer
    x = 79,259.28

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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.