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Finding the Fourth Proportional to 305,211.20, 457,492.80 and 147,336.80

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Solution

The fourth proportional to 305,211.20, 457,492.80 and 147,336.80 is: 220,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,211.20 : 457,492.80 = 147,336.80 : x
  2. Step 2: Convert to fraction form
    305,211.20/457,492.80 = 147,336.80/x
  3. Step 3: Cross multiply
    305,211.20x = 457,492.80 × 147,336.80
  4. Step 4: Simplify right side
    305,211.20x = 67,405,525,175.04
  5. Step 5: Solve for x
    x = 67,405,525,175.04/305,211.20
  6. Step 6: Final answer
    x = 220,848.79

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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.