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Finding the Fourth Proportional to 383,097.32, 574,646.30 and 120,441.32

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Solution

The fourth proportional to 383,097.32, 574,646.30 and 120,441.32 is: 180,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,097.32 : 574,646.30 = 120,441.32 : x
  2. Step 2: Convert to fraction form
    383,097.32/574,646.30 = 120,441.32/x
  3. Step 3: Cross multiply
    383,097.32x = 574,646.30 × 120,441.32
  4. Step 4: Simplify right side
    383,097.32x = 69,211,158,905.12
  5. Step 5: Solve for x
    x = 69,211,158,905.12/383,097.32
  6. Step 6: Final answer
    x = 180,662.08

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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.