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Finding the Fourth Proportional to 409,404.42, 564,979.26 and 237,355.80

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Solution

The fourth proportional to 409,404.42, 564,979.26 and 237,355.80 is: 327,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,404.42 : 564,979.26 = 237,355.80 : x
  2. Step 2: Convert to fraction form
    409,404.42/564,979.26 = 237,355.80/x
  3. Step 3: Cross multiply
    409,404.42x = 564,979.26 × 237,355.80
  4. Step 4: Simplify right side
    409,404.42x = 134,101,104,240.71
  5. Step 5: Solve for x
    x = 134,101,104,240.71/409,404.42
  6. Step 6: Final answer
    x = 327,551.68

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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.