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Finding the Fourth Proportional to 383,886.40, 576,002.40 and 184,129.60

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Solution

The fourth proportional to 383,886.40, 576,002.40 and 184,129.60 is: 276,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,886.40 : 576,002.40 = 184,129.60 : x
  2. Step 2: Convert to fraction form
    383,886.40/576,002.40 = 184,129.60/x
  3. Step 3: Cross multiply
    383,886.40x = 576,002.40 × 184,129.60
  4. Step 4: Simplify right side
    383,886.40x = 106,059,091,511.04
  5. Step 5: Solve for x
    x = 106,059,091,511.04/383,886.40
  6. Step 6: Final answer
    x = 276,277.28

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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.