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Finding the Fourth Proportional to 511,348.48, 705,665.79 and 281,914.16

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Solution

The fourth proportional to 511,348.48, 705,665.79 and 281,914.16 is: 389,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,348.48 : 705,665.79 = 281,914.16 : x
  2. Step 2: Convert to fraction form
    511,348.48/705,665.79 = 281,914.16/x
  3. Step 3: Cross multiply
    511,348.48x = 705,665.79 × 281,914.16
  4. Step 4: Simplify right side
    511,348.48x = 198,937,174,900.26
  5. Step 5: Solve for x
    x = 198,937,174,900.26/511,348.48
  6. Step 6: Final answer
    x = 389,044.23

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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.