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Finding the Fourth Proportional to 305,659.00, 457,842.11 and 193,281.22

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Solution

The fourth proportional to 305,659.00, 457,842.11 and 193,281.22 is: 289,513.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,659.00 : 457,842.11 = 193,281.22 : x
  2. Step 2: Convert to fraction form
    305,659.00/457,842.11 = 193,281.22/x
  3. Step 3: Cross multiply
    305,659.00x = 457,842.11 × 193,281.22
  4. Step 4: Simplify right side
    305,659.00x = 88,492,279,298.96
  5. Step 5: Solve for x
    x = 88,492,279,298.96/305,659.00
  6. Step 6: Final answer
    x = 289,513.09

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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.