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Finding the Fourth Proportional to 505,187.88, 697,109.64 and 278,818.80

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Solution

The fourth proportional to 505,187.88, 697,109.64 and 278,818.80 is: 384,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,187.88 : 697,109.64 = 278,818.80 : x
  2. Step 2: Convert to fraction form
    505,187.88/697,109.64 = 278,818.80/x
  3. Step 3: Cross multiply
    505,187.88x = 697,109.64 × 278,818.80
  4. Step 4: Simplify right side
    505,187.88x = 194,367,273,293.23
  5. Step 5: Solve for x
    x = 194,367,273,293.23/505,187.88
  6. Step 6: Final answer
    x = 384,742.55

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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.