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Finding the Fourth Proportional to 526,274, 726,275.40 and 287,810

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Solution

The fourth proportional to 526,274, 726,275.40 and 287,810 is: 397,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,274 : 726,275.40 = 287,810 : x
  2. Step 2: Convert to fraction form
    526,274/726,275.40 = 287,810/x
  3. Step 3: Cross multiply
    526,274x = 726,275.40 × 287,810
  4. Step 4: Simplify right side
    526,274x = 209,029,322,874
  5. Step 5: Solve for x
    x = 209,029,322,874/526,274
  6. Step 6: Final answer
    x = 397,187.25

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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.