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Finding the Fourth Proportional to 419,155.19, 578,434.23 and 228,170.01

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Solution

The fourth proportional to 419,155.19, 578,434.23 and 228,170.01 is: 314,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,155.19 : 578,434.23 = 228,170.01 : x
  2. Step 2: Convert to fraction form
    419,155.19/578,434.23 = 228,170.01/x
  3. Step 3: Cross multiply
    419,155.19x = 578,434.23 × 228,170.01
  4. Step 4: Simplify right side
    419,155.19x = 131,981,344,043.44
  5. Step 5: Solve for x
    x = 131,981,344,043.44/419,155.19
  6. Step 6: Final answer
    x = 314,874.65

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