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Finding the Fourth Proportional to 504,159.50, 695,754.96 and 277,819.58

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Solution

The fourth proportional to 504,159.50, 695,754.96 and 277,819.58 is: 383,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,159.50 : 695,754.96 = 277,819.58 : x
  2. Step 2: Convert to fraction form
    504,159.50/695,754.96 = 277,819.58/x
  3. Step 3: Cross multiply
    504,159.50x = 695,754.96 × 277,819.58
  4. Step 4: Simplify right side
    504,159.50x = 193,294,350,770.12
  5. Step 5: Solve for x
    x = 193,294,350,770.12/504,159.50
  6. Step 6: Final answer
    x = 383,399.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.