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Finding the Fourth Proportional to 431,208.93, 590,758.37 and 415,047.61

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Solution

The fourth proportional to 431,208.93, 590,758.37 and 415,047.61 is: 568,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,208.93 : 590,758.37 = 415,047.61 : x
  2. Step 2: Convert to fraction form
    431,208.93/590,758.37 = 415,047.61/x
  3. Step 3: Cross multiply
    431,208.93x = 590,758.37 × 415,047.61
  4. Step 4: Simplify right side
    431,208.93x = 245,192,849,556.00
  5. Step 5: Solve for x
    x = 245,192,849,556.00/431,208.93
  6. Step 6: Final answer
    x = 568,617.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.