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Finding the Fourth Proportional to 305,527.84, 458,176.56 and 180,904.48

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Solution

The fourth proportional to 305,527.84, 458,176.56 and 180,904.48 is: 271,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,527.84 : 458,176.56 = 180,904.48 : x
  2. Step 2: Convert to fraction form
    305,527.84/458,176.56 = 180,904.48/x
  3. Step 3: Cross multiply
    305,527.84x = 458,176.56 × 180,904.48
  4. Step 4: Simplify right side
    305,527.84x = 82,886,192,334.99
  5. Step 5: Solve for x
    x = 82,886,192,334.99/305,527.84
  6. Step 6: Final answer
    x = 271,288.51

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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.