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Finding the Fourth Proportional to 419,191.02, 578,465.46 and 228,205.08

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Solution

The fourth proportional to 419,191.02, 578,465.46 and 228,205.08 is: 314,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,191.02 : 578,465.46 = 228,205.08 : x
  2. Step 2: Convert to fraction form
    419,191.02/578,465.46 = 228,205.08/x
  3. Step 3: Cross multiply
    419,191.02x = 578,465.46 × 228,205.08
  4. Step 4: Simplify right side
    419,191.02x = 132,008,756,576.54
  5. Step 5: Solve for x
    x = 132,008,756,576.54/419,191.02
  6. Step 6: Final answer
    x = 314,913.13

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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.