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Finding the Fourth Proportional to 410,893.50, 567,022.46 and 229,606.92

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Solution

The fourth proportional to 410,893.50, 567,022.46 and 229,606.92 is: 316,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,893.50 : 567,022.46 = 229,606.92 : x
  2. Step 2: Convert to fraction form
    410,893.50/567,022.46 = 229,606.92/x
  3. Step 3: Cross multiply
    410,893.50x = 567,022.46 × 229,606.92
  4. Step 4: Simplify right side
    410,893.50x = 130,192,279,331.46
  5. Step 5: Solve for x
    x = 130,192,279,331.46/410,893.50
  6. Step 6: Final answer
    x = 316,851.64

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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.