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Finding the Fourth Proportional to 264,957.32, 398,238.90 and 175,305.82

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Solution

The fourth proportional to 264,957.32, 398,238.90 and 175,305.82 is: 263,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,957.32 : 398,238.90 = 175,305.82 : x
  2. Step 2: Convert to fraction form
    264,957.32/398,238.90 = 175,305.82/x
  3. Step 3: Cross multiply
    264,957.32x = 398,238.90 × 175,305.82
  4. Step 4: Simplify right side
    264,957.32x = 69,813,596,920.40
  5. Step 5: Solve for x
    x = 69,813,596,920.40/264,957.32
  6. Step 6: Final answer
    x = 263,489.97

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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.