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Finding the Fourth Proportional to 511,816.36, 706,306.65 and 285,461.86

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Solution

The fourth proportional to 511,816.36, 706,306.65 and 285,461.86 is: 393,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,816.36 : 706,306.65 = 285,461.86 : x
  2. Step 2: Convert to fraction form
    511,816.36/706,306.65 = 285,461.86/x
  3. Step 3: Cross multiply
    511,816.36x = 706,306.65 × 285,461.86
  4. Step 4: Simplify right side
    511,816.36x = 201,623,610,039.37
  5. Step 5: Solve for x
    x = 201,623,610,039.37/511,816.36
  6. Step 6: Final answer
    x = 393,937.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.