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Finding the Fourth Proportional to 410,116.20, 615,347.10 and 223,261.80

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Solution

The fourth proportional to 410,116.20, 615,347.10 and 223,261.80 is: 334,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,116.20 : 615,347.10 = 223,261.80 : x
  2. Step 2: Convert to fraction form
    410,116.20/615,347.10 = 223,261.80/x
  3. Step 3: Cross multiply
    410,116.20x = 615,347.10 × 223,261.80
  4. Step 4: Simplify right side
    410,116.20x = 137,383,501,170.78
  5. Step 5: Solve for x
    x = 137,383,501,170.78/410,116.20
  6. Step 6: Final answer
    x = 334,986.77

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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.