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Finding the Fourth Proportional to 313,654.80, 432,829.52 and 177,685.98

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Solution

The fourth proportional to 313,654.80, 432,829.52 and 177,685.98 is: 245,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,654.80 : 432,829.52 = 177,685.98 : x
  2. Step 2: Convert to fraction form
    313,654.80/432,829.52 = 177,685.98/x
  3. Step 3: Cross multiply
    313,654.80x = 432,829.52 × 177,685.98
  4. Step 4: Simplify right side
    313,654.80x = 76,907,735,269.98
  5. Step 5: Solve for x
    x = 76,907,735,269.98/313,654.80
  6. Step 6: Final answer
    x = 245,198.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.