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Finding the Fourth Proportional to 419,765.59, 579,259.65 and 228,774.88

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Solution

The fourth proportional to 419,765.59, 579,259.65 and 228,774.88 is: 315,700.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,765.59 : 579,259.65 = 228,774.88 : x
  2. Step 2: Convert to fraction form
    419,765.59/579,259.65 = 228,774.88/x
  3. Step 3: Cross multiply
    419,765.59x = 579,259.65 × 228,774.88
  4. Step 4: Simplify right side
    419,765.59x = 132,520,056,917.59
  5. Step 5: Solve for x
    x = 132,520,056,917.59/419,765.59
  6. Step 6: Final answer
    x = 315,700.14

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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.