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Finding the Fourth Proportional to 433,407.54, 649,949.64 and 149,017.62

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Solution

The fourth proportional to 433,407.54, 649,949.64 and 149,017.62 is: 223,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,407.54 : 649,949.64 = 149,017.62 : x
  2. Step 2: Convert to fraction form
    433,407.54/649,949.64 = 149,017.62/x
  3. Step 3: Cross multiply
    433,407.54x = 649,949.64 × 149,017.62
  4. Step 4: Simplify right side
    433,407.54x = 96,853,948,472.66
  5. Step 5: Solve for x
    x = 96,853,948,472.66/433,407.54
  6. Step 6: Final answer
    x = 223,470.84

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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.