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Finding the Fourth Proportional to 305,786.80, 458,898.90 and 128,421.10

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Solution

The fourth proportional to 305,786.80, 458,898.90 and 128,421.10 is: 192,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,786.80 : 458,898.90 = 128,421.10 : x
  2. Step 2: Convert to fraction form
    305,786.80/458,898.90 = 128,421.10/x
  3. Step 3: Cross multiply
    305,786.80x = 458,898.90 × 128,421.10
  4. Step 4: Simplify right side
    305,786.80x = 58,932,301,526.79
  5. Step 5: Solve for x
    x = 58,932,301,526.79/305,786.80
  6. Step 6: Final answer
    x = 192,723.50

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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.