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Finding the Fourth Proportional to 466,443.75, 699,683.85 and 146,813.70

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Solution

The fourth proportional to 466,443.75, 699,683.85 and 146,813.70 is: 220,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,443.75 : 699,683.85 = 146,813.70 : x
  2. Step 2: Convert to fraction form
    466,443.75/699,683.85 = 146,813.70/x
  3. Step 3: Cross multiply
    466,443.75x = 699,683.85 × 146,813.70
  4. Step 4: Simplify right side
    466,443.75x = 102,723,174,848.75
  5. Step 5: Solve for x
    x = 102,723,174,848.75/466,443.75
  6. Step 6: Final answer
    x = 220,226.29

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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.