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Finding the Fourth Proportional to 409,906.65, 610,785.12 and 365,189.79

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Solution

The fourth proportional to 409,906.65, 610,785.12 and 365,189.79 is: 544,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,906.65 : 610,785.12 = 365,189.79 : x
  2. Step 2: Convert to fraction form
    409,906.65/610,785.12 = 365,189.79/x
  3. Step 3: Cross multiply
    409,906.65x = 610,785.12 × 365,189.79
  4. Step 4: Simplify right side
    409,906.65x = 223,052,489,707.93
  5. Step 5: Solve for x
    x = 223,052,489,707.93/409,906.65
  6. Step 6: Final answer
    x = 544,154.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.