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Finding the Fourth Proportional to 508,092.20, 701,116.66 and 293,301.48

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Solution

The fourth proportional to 508,092.20, 701,116.66 and 293,301.48 is: 404,726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,092.20 : 701,116.66 = 293,301.48 : x
  2. Step 2: Convert to fraction form
    508,092.20/701,116.66 = 293,301.48/x
  3. Step 3: Cross multiply
    508,092.20x = 701,116.66 × 293,301.48
  4. Step 4: Simplify right side
    508,092.20x = 205,638,554,030.66
  5. Step 5: Solve for x
    x = 205,638,554,030.66/508,092.20
  6. Step 6: Final answer
    x = 404,726.85

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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.