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Finding the Fourth Proportional to 514,184.97, 770,805.09 and 177,145.50

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Solution

The fourth proportional to 514,184.97, 770,805.09 and 177,145.50 is: 265,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,184.97 : 770,805.09 = 177,145.50 : x
  2. Step 2: Convert to fraction form
    514,184.97/770,805.09 = 177,145.50/x
  3. Step 3: Cross multiply
    514,184.97x = 770,805.09 × 177,145.50
  4. Step 4: Simplify right side
    514,184.97x = 136,544,653,070.60
  5. Step 5: Solve for x
    x = 136,544,653,070.60/514,184.97
  6. Step 6: Final answer
    x = 265,555.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.