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Finding the Fourth Proportional to 385,511.40, 578,310.30 and 119,269.80

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Solution

The fourth proportional to 385,511.40, 578,310.30 and 119,269.80 is: 178,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,511.40 : 578,310.30 = 119,269.80 : x
  2. Step 2: Convert to fraction form
    385,511.40/578,310.30 = 119,269.80/x
  3. Step 3: Cross multiply
    385,511.40x = 578,310.30 × 119,269.80
  4. Step 4: Simplify right side
    385,511.40x = 68,974,953,818.94
  5. Step 5: Solve for x
    x = 68,974,953,818.94/385,511.40
  6. Step 6: Final answer
    x = 178,918.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.