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Finding the Fourth Proportional to 654,687.48, 903,977.10 and 511,198.68

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Solution

The fourth proportional to 654,687.48, 903,977.10 and 511,198.68 is: 705,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,687.48 : 903,977.10 = 511,198.68 : x
  2. Step 2: Convert to fraction form
    654,687.48/903,977.10 = 511,198.68/x
  3. Step 3: Cross multiply
    654,687.48x = 903,977.10 × 511,198.68
  4. Step 4: Simplify right side
    654,687.48x = 462,111,900,270.23
  5. Step 5: Solve for x
    x = 462,111,900,270.23/654,687.48
  6. Step 6: Final answer
    x = 705,851.13

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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.