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Finding the Fourth Proportional to 406,923.20, 610,384.80 and 207,857.60

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Solution

The fourth proportional to 406,923.20, 610,384.80 and 207,857.60 is: 311,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,923.20 : 610,384.80 = 207,857.60 : x
  2. Step 2: Convert to fraction form
    406,923.20/610,384.80 = 207,857.60/x
  3. Step 3: Cross multiply
    406,923.20x = 610,384.80 × 207,857.60
  4. Step 4: Simplify right side
    406,923.20x = 126,873,119,604.48
  5. Step 5: Solve for x
    x = 126,873,119,604.48/406,923.20
  6. Step 6: Final answer
    x = 311,786.40

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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.