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Finding the Fourth Proportional to 526,641, 726,765.06 and 288,177

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Solution

The fourth proportional to 526,641, 726,765.06 and 288,177 is: 397,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,641 : 726,765.06 = 288,177 : x
  2. Step 2: Convert to fraction form
    526,641/726,765.06 = 288,177/x
  3. Step 3: Cross multiply
    526,641x = 726,765.06 × 288,177
  4. Step 4: Simplify right side
    526,641x = 209,436,974,695.62
  5. Step 5: Solve for x
    x = 209,436,974,695.62/526,641
  6. Step 6: Final answer
    x = 397,684.52

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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.