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Finding the Fourth Proportional to 514,787.12, 772,196.94 and 177,846.96

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Solution

The fourth proportional to 514,787.12, 772,196.94 and 177,846.96 is: 266,776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,787.12 : 772,196.94 = 177,846.96 : x
  2. Step 2: Convert to fraction form
    514,787.12/772,196.94 = 177,846.96/x
  3. Step 3: Cross multiply
    514,787.12x = 772,196.94 × 177,846.96
  4. Step 4: Simplify right side
    514,787.12x = 137,332,878,300.30
  5. Step 5: Solve for x
    x = 137,332,878,300.30/514,787.12
  6. Step 6: Final answer
    x = 266,776.06

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Why These Related Problems?

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