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Finding the Fourth Proportional to 305,164.80, 457,790.40 and 94,780.80

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Solution

The fourth proportional to 305,164.80, 457,790.40 and 94,780.80 is: 142,184.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,164.80 : 457,790.40 = 94,780.80 : x
  2. Step 2: Convert to fraction form
    305,164.80/457,790.40 = 94,780.80/x
  3. Step 3: Cross multiply
    305,164.80x = 457,790.40 × 94,780.80
  4. Step 4: Simplify right side
    305,164.80x = 43,389,740,344.32
  5. Step 5: Solve for x
    x = 43,389,740,344.32/305,164.80
  6. Step 6: Final answer
    x = 142,184.62

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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.