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Finding the Fourth Proportional to 409,151.48, 613,726 and 184,248.60

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Solution

The fourth proportional to 409,151.48, 613,726 and 184,248.60 is: 276,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,151.48 : 613,726 = 184,248.60 : x
  2. Step 2: Convert to fraction form
    409,151.48/613,726 = 184,248.60/x
  3. Step 3: Cross multiply
    409,151.48x = 613,726 × 184,248.60
  4. Step 4: Simplify right side
    409,151.48x = 113,078,156,283.60
  5. Step 5: Solve for x
    x = 113,078,156,283.60/409,151.48
  6. Step 6: Final answer
    x = 276,372.35

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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.