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Finding the Fourth Proportional to 317,157.60, 437,697.72 and 209,538.84

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Solution

The fourth proportional to 317,157.60, 437,697.72 and 209,538.84 is: 289,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,157.60 : 437,697.72 = 209,538.84 : x
  2. Step 2: Convert to fraction form
    317,157.60/437,697.72 = 209,538.84/x
  3. Step 3: Cross multiply
    317,157.60x = 437,697.72 × 209,538.84
  4. Step 4: Simplify right side
    317,157.60x = 91,714,672,519.44
  5. Step 5: Solve for x
    x = 91,714,672,519.44/317,157.60
  6. Step 6: Final answer
    x = 289,176.97

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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.