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Finding the Fourth Proportional to 384,460.98, 576,814.86 and 184,795.86

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Solution

The fourth proportional to 384,460.98, 576,814.86 and 184,795.86 is: 277,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,460.98 : 576,814.86 = 184,795.86 : x
  2. Step 2: Convert to fraction form
    384,460.98/576,814.86 = 184,795.86/x
  3. Step 3: Cross multiply
    384,460.98x = 576,814.86 × 184,795.86
  4. Step 4: Simplify right side
    384,460.98x = 106,592,998,114.48
  5. Step 5: Solve for x
    x = 106,592,998,114.48/384,460.98
  6. Step 6: Final answer
    x = 277,253.10

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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.