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Finding the Fourth Proportional to 434,048.20, 650,853.60 and 256,609.60

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Solution

The fourth proportional to 434,048.20, 650,853.60 and 256,609.60 is: 384,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,048.20 : 650,853.60 = 256,609.60 : x
  2. Step 2: Convert to fraction form
    434,048.20/650,853.60 = 256,609.60/x
  3. Step 3: Cross multiply
    434,048.20x = 650,853.60 × 256,609.60
  4. Step 4: Simplify right side
    434,048.20x = 167,015,281,954.56
  5. Step 5: Solve for x
    x = 167,015,281,954.56/434,048.20
  6. Step 6: Final answer
    x = 384,785.10

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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.