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Finding the Fourth Proportional to 419,710.77, 579,184.02 and 228,720.06

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Solution

The fourth proportional to 419,710.77, 579,184.02 and 228,720.06 is: 315,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,710.77 : 579,184.02 = 228,720.06 : x
  2. Step 2: Convert to fraction form
    419,710.77/579,184.02 = 228,720.06/x
  3. Step 3: Cross multiply
    419,710.77x = 579,184.02 × 228,720.06
  4. Step 4: Simplify right side
    419,710.77x = 132,471,003,805.44
  5. Step 5: Solve for x
    x = 132,471,003,805.44/419,710.77
  6. Step 6: Final answer
    x = 315,624.50

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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.