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Finding the Fourth Proportional to 541,369.98, 746,918.82 and 314,971.74

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Solution

The fourth proportional to 541,369.98, 746,918.82 and 314,971.74 is: 434,561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,369.98 : 746,918.82 = 314,971.74 : x
  2. Step 2: Convert to fraction form
    541,369.98/746,918.82 = 314,971.74/x
  3. Step 3: Cross multiply
    541,369.98x = 746,918.82 × 314,971.74
  4. Step 4: Simplify right side
    541,369.98x = 235,258,320,374.15
  5. Step 5: Solve for x
    x = 235,258,320,374.15/541,369.98
  6. Step 6: Final answer
    x = 434,561.07

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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.