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Finding the Fourth Proportional to 408,472.06, 563,608.02 and 238,673.38

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Solution

The fourth proportional to 408,472.06, 563,608.02 and 238,673.38 is: 329,320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,472.06 : 563,608.02 = 238,673.38 : x
  2. Step 2: Convert to fraction form
    408,472.06/563,608.02 = 238,673.38/x
  3. Step 3: Cross multiply
    408,472.06x = 563,608.02 × 238,673.38
  4. Step 4: Simplify right side
    408,472.06x = 134,518,231,128.51
  5. Step 5: Solve for x
    x = 134,518,231,128.51/408,472.06
  6. Step 6: Final answer
    x = 329,320.52

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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.