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Finding the Fourth Proportional to 384,123.60, 576,108.60 and 184,443.60

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Solution

The fourth proportional to 384,123.60, 576,108.60 and 184,443.60 is: 276,628.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,123.60 : 576,108.60 = 184,443.60 : x
  2. Step 2: Convert to fraction form
    384,123.60/576,108.60 = 184,443.60/x
  3. Step 3: Cross multiply
    384,123.60x = 576,108.60 × 184,443.60
  4. Step 4: Simplify right side
    384,123.60x = 106,259,544,174.96
  5. Step 5: Solve for x
    x = 106,259,544,174.96/384,123.60
  6. Step 6: Final answer
    x = 276,628.52

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1.5x scale

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.