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Finding the Fourth Proportional to 511,816, 706,306.08 and 285,461.68

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Solution

The fourth proportional to 511,816, 706,306.08 and 285,461.68 is: 393,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,816 : 706,306.08 = 285,461.68 : x
  2. Step 2: Convert to fraction form
    511,816/706,306.08 = 285,461.68/x
  3. Step 3: Cross multiply
    511,816x = 706,306.08 × 285,461.68
  4. Step 4: Simplify right side
    511,816x = 201,623,320,191.01
  5. Step 5: Solve for x
    x = 201,623,320,191.01/511,816
  6. Step 6: Final answer
    x = 393,937.12

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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.