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Finding the Fourth Proportional to 383,007.32, 575,020.04 and 327,206.08

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Solution

The fourth proportional to 383,007.32, 575,020.04 and 327,206.08 is: 491,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,007.32 : 575,020.04 = 327,206.08 : x
  2. Step 2: Convert to fraction form
    383,007.32/575,020.04 = 327,206.08/x
  3. Step 3: Cross multiply
    383,007.32x = 575,020.04 × 327,206.08
  4. Step 4: Simplify right side
    383,007.32x = 188,150,053,209.84
  5. Step 5: Solve for x
    x = 188,150,053,209.84/383,007.32
  6. Step 6: Final answer
    x = 491,244.01

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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.