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Finding the Fourth Proportional to 410,048.70, 615,245.85 and 223,194.30

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Solution

The fourth proportional to 410,048.70, 615,245.85 and 223,194.30 is: 334,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,048.70 : 615,245.85 = 223,194.30 : x
  2. Step 2: Convert to fraction form
    410,048.70/615,245.85 = 223,194.30/x
  3. Step 3: Cross multiply
    410,048.70x = 615,245.85 × 223,194.30
  4. Step 4: Simplify right side
    410,048.70x = 137,319,366,818.66
  5. Step 5: Solve for x
    x = 137,319,366,818.66/410,048.70
  6. Step 6: Final answer
    x = 334,885.51

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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.