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Finding the Fourth Proportional to 409,200.30, 613,800.45 and 184,814.10

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Solution

The fourth proportional to 409,200.30, 613,800.45 and 184,814.10 is: 277,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,200.30 : 613,800.45 = 184,814.10 : x
  2. Step 2: Convert to fraction form
    409,200.30/613,800.45 = 184,814.10/x
  3. Step 3: Cross multiply
    409,200.30x = 613,800.45 × 184,814.10
  4. Step 4: Simplify right side
    409,200.30x = 113,438,977,746.35
  5. Step 5: Solve for x
    x = 113,438,977,746.35/409,200.30
  6. Step 6: Final answer
    x = 277,221.15

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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.