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Finding the Fourth Proportional to 755,072.64, 1,042,002 and 410,908.68

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Solution

The fourth proportional to 755,072.64, 1,042,002 and 410,908.68 is: 567,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,072.64 : 1,042,002 = 410,908.68 : x
  2. Step 2: Convert to fraction form
    755,072.64/1,042,002 = 410,908.68/x
  3. Step 3: Cross multiply
    755,072.64x = 1,042,002 × 410,908.68
  4. Step 4: Simplify right side
    755,072.64x = 428,167,666,377.36
  5. Step 5: Solve for x
    x = 428,167,666,377.36/755,072.64
  6. Step 6: Final answer
    x = 567,054.93

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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.