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Finding the Fourth Proportional to 447,055.96, 670,518.32 and 147,546.32

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Solution

The fourth proportional to 447,055.96, 670,518.32 and 147,546.32 is: 221,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,055.96 : 670,518.32 = 147,546.32 : x
  2. Step 2: Convert to fraction form
    447,055.96/670,518.32 = 147,546.32/x
  3. Step 3: Cross multiply
    447,055.96x = 670,518.32 × 147,546.32
  4. Step 4: Simplify right side
    447,055.96x = 98,932,510,608.58
  5. Step 5: Solve for x
    x = 98,932,510,608.58/447,055.96
  6. Step 6: Final answer
    x = 221,297.82

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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.