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Finding the Fourth Proportional to 410,830.80, 615,727.80 and 200,014.80

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Solution

The fourth proportional to 410,830.80, 615,727.80 and 200,014.80 is: 299,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,830.80 : 615,727.80 = 200,014.80 : x
  2. Step 2: Convert to fraction form
    410,830.80/615,727.80 = 200,014.80/x
  3. Step 3: Cross multiply
    410,830.80x = 615,727.80 × 200,014.80
  4. Step 4: Simplify right side
    410,830.80x = 123,154,672,771.44
  5. Step 5: Solve for x
    x = 123,154,672,771.44/410,830.80
  6. Step 6: Final answer
    x = 299,769.81

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1.5x scale

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.