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Finding the Fourth Proportional to 497,071.31, 685,839.31 and 293,106.22

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Solution

The fourth proportional to 497,071.31, 685,839.31 and 293,106.22 is: 404,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,071.31 : 685,839.31 = 293,106.22 : x
  2. Step 2: Convert to fraction form
    497,071.31/685,839.31 = 293,106.22/x
  3. Step 3: Cross multiply
    497,071.31x = 685,839.31 × 293,106.22
  4. Step 4: Simplify right side
    497,071.31x = 201,023,765,234.14
  5. Step 5: Solve for x
    x = 201,023,765,234.14/497,071.31
  6. Step 6: Final answer
    x = 404,416.35

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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.