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Finding the Fourth Proportional to 384,106.60, 576,083.10 and 184,426.60

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Solution

The fourth proportional to 384,106.60, 576,083.10 and 184,426.60 is: 276,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,106.60 : 576,083.10 = 184,426.60 : x
  2. Step 2: Convert to fraction form
    384,106.60/576,083.10 = 184,426.60/x
  3. Step 3: Cross multiply
    384,106.60x = 576,083.10 × 184,426.60
  4. Step 4: Simplify right side
    384,106.60x = 106,245,047,450.46
  5. Step 5: Solve for x
    x = 106,245,047,450.46/384,106.60
  6. Step 6: Final answer
    x = 276,603.02

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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.