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Finding the Fourth Proportional to 299,542.30, 413,459.91 and 184,856.02

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Solution

The fourth proportional to 299,542.30, 413,459.91 and 184,856.02 is: 255,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,542.30 : 413,459.91 = 184,856.02 : x
  2. Step 2: Convert to fraction form
    299,542.30/413,459.91 = 184,856.02/x
  3. Step 3: Cross multiply
    299,542.30x = 413,459.91 × 184,856.02
  4. Step 4: Simplify right side
    299,542.30x = 76,430,553,392.16
  5. Step 5: Solve for x
    x = 76,430,553,392.16/299,542.30
  6. Step 6: Final answer
    x = 255,157.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.