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Finding the Fourth Proportional to 523,393.29, 722,300.19 and 293,991.03

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Solution

The fourth proportional to 523,393.29, 722,300.19 and 293,991.03 is: 405,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,393.29 : 722,300.19 = 293,991.03 : x
  2. Step 2: Convert to fraction form
    523,393.29/722,300.19 = 293,991.03/x
  3. Step 3: Cross multiply
    523,393.29x = 722,300.19 × 293,991.03
  4. Step 4: Simplify right side
    523,393.29x = 212,349,776,827.30
  5. Step 5: Solve for x
    x = 212,349,776,827.30/523,393.29
  6. Step 6: Final answer
    x = 405,717.42

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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.