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Finding the Fourth Proportional to 437,293.40, 656,231.70 and 200,514.20

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Solution

The fourth proportional to 437,293.40, 656,231.70 and 200,514.20 is: 300,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,293.40 : 656,231.70 = 200,514.20 : x
  2. Step 2: Convert to fraction form
    437,293.40/656,231.70 = 200,514.20/x
  3. Step 3: Cross multiply
    437,293.40x = 656,231.70 × 200,514.20
  4. Step 4: Simplify right side
    437,293.40x = 131,583,774,340.14
  5. Step 5: Solve for x
    x = 131,583,774,340.14/437,293.40
  6. Step 6: Final answer
    x = 300,905.01

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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.