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Finding the Fourth Proportional to 409,469.96, 565,069.68 and 237,421.64

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Solution

The fourth proportional to 409,469.96, 565,069.68 and 237,421.64 is: 327,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,469.96 : 565,069.68 = 237,421.64 : x
  2. Step 2: Convert to fraction form
    409,469.96/565,069.68 = 237,421.64/x
  3. Step 3: Cross multiply
    409,469.96x = 565,069.68 × 237,421.64
  4. Step 4: Simplify right side
    409,469.96x = 134,159,770,139.88
  5. Step 5: Solve for x
    x = 134,159,770,139.88/409,469.96
  6. Step 6: Final answer
    x = 327,642.52

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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.