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Finding the Fourth Proportional to 297,564.46, 446,287.01 and 145,696.10

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Solution

The fourth proportional to 297,564.46, 446,287.01 and 145,696.10 is: 218,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,564.46 : 446,287.01 = 145,696.10 : x
  2. Step 2: Convert to fraction form
    297,564.46/446,287.01 = 145,696.10/x
  3. Step 3: Cross multiply
    297,564.46x = 446,287.01 × 145,696.10
  4. Step 4: Simplify right side
    297,564.46x = 65,022,279,295.31
  5. Step 5: Solve for x
    x = 65,022,279,295.31/297,564.46
  6. Step 6: Final answer
    x = 218,514.94

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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.