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Finding the Fourth Proportional to 508,098.22, 701,125 and 293,307.48

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Solution

The fourth proportional to 508,098.22, 701,125 and 293,307.48 is: 404,735.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,098.22 : 701,125 = 293,307.48 : x
  2. Step 2: Convert to fraction form
    508,098.22/701,125 = 293,307.48/x
  3. Step 3: Cross multiply
    508,098.22x = 701,125 × 293,307.48
  4. Step 4: Simplify right side
    508,098.22x = 205,645,206,915
  5. Step 5: Solve for x
    x = 205,645,206,915/508,098.22
  6. Step 6: Final answer
    x = 404,735.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.