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Finding the Fourth Proportional to 446,487.59, 669,814.46 and 146,989.23

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Solution

The fourth proportional to 446,487.59, 669,814.46 and 146,989.23 is: 220,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,487.59 : 669,814.46 = 146,989.23 : x
  2. Step 2: Convert to fraction form
    446,487.59/669,814.46 = 146,989.23/x
  3. Step 3: Cross multiply
    446,487.59x = 669,814.46 × 146,989.23
  4. Step 4: Simplify right side
    446,487.59x = 98,455,513,617.25
  5. Step 5: Solve for x
    x = 98,455,513,617.25/446,487.59
  6. Step 6: Final answer
    x = 220,511.20

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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.