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Finding the Fourth Proportional to 297,127.68, 409,737.60 and 177,964.80

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Solution

The fourth proportional to 297,127.68, 409,737.60 and 177,964.80 is: 245,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,127.68 : 409,737.60 = 177,964.80 : x
  2. Step 2: Convert to fraction form
    297,127.68/409,737.60 = 177,964.80/x
  3. Step 3: Cross multiply
    297,127.68x = 409,737.60 × 177,964.80
  4. Step 4: Simplify right side
    297,127.68x = 72,918,870,036.48
  5. Step 5: Solve for x
    x = 72,918,870,036.48/297,127.68
  6. Step 6: Final answer
    x = 245,412.58

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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.