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Finding the Fourth Proportional to 409,785.42, 565,260.18 and 318,997.68

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Solution

The fourth proportional to 409,785.42, 565,260.18 and 318,997.68 is: 440,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,785.42 : 565,260.18 = 318,997.68 : x
  2. Step 2: Convert to fraction form
    409,785.42/565,260.18 = 318,997.68/x
  3. Step 3: Cross multiply
    409,785.42x = 565,260.18 × 318,997.68
  4. Step 4: Simplify right side
    409,785.42x = 180,316,686,016.38
  5. Step 5: Solve for x
    x = 180,316,686,016.38/409,785.42
  6. Step 6: Final answer
    x = 440,027.09

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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.