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Finding the Fourth Proportional to 446,645.33, 669,824.01 and 147,054.57

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Solution

The fourth proportional to 446,645.33, 669,824.01 and 147,054.57 is: 220,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,645.33 : 669,824.01 = 147,054.57 : x
  2. Step 2: Convert to fraction form
    446,645.33/669,824.01 = 147,054.57/x
  3. Step 3: Cross multiply
    446,645.33x = 669,824.01 × 147,054.57
  4. Step 4: Simplify right side
    446,645.33x = 98,500,684,278.07
  5. Step 5: Solve for x
    x = 98,500,684,278.07/446,645.33
  6. Step 6: Final answer
    x = 220,534.46

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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.