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Finding the Fourth Proportional to 410,470.76, 566,444.26 and 229,185.78

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Solution

The fourth proportional to 410,470.76, 566,444.26 and 229,185.78 is: 316,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,470.76 : 566,444.26 = 229,185.78 : x
  2. Step 2: Convert to fraction form
    410,470.76/566,444.26 = 229,185.78/x
  3. Step 3: Cross multiply
    410,470.76x = 566,444.26 × 229,185.78
  4. Step 4: Simplify right side
    410,470.76x = 129,820,969,554.62
  5. Step 5: Solve for x
    x = 129,820,969,554.62/410,470.76
  6. Step 6: Final answer
    x = 316,273.37

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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.