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Finding the Fourth Proportional to 427,511.40, 641,324.70 and 147,114.60

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Solution

The fourth proportional to 427,511.40, 641,324.70 and 147,114.60 is: 220,691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,511.40 : 641,324.70 = 147,114.60 : x
  2. Step 2: Convert to fraction form
    427,511.40/641,324.70 = 147,114.60/x
  3. Step 3: Cross multiply
    427,511.40x = 641,324.70 × 147,114.60
  4. Step 4: Simplify right side
    427,511.40x = 94,348,226,710.62
  5. Step 5: Solve for x
    x = 94,348,226,710.62/427,511.40
  6. Step 6: Final answer
    x = 220,691.72

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1.5x scale

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.