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Finding the Fourth Proportional to 537,706.32, 806,679.48 and 163,758.16

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Solution

The fourth proportional to 537,706.32, 806,679.48 and 163,758.16 is: 245,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,706.32 : 806,679.48 = 163,758.16 : x
  2. Step 2: Convert to fraction form
    537,706.32/806,679.48 = 163,758.16/x
  3. Step 3: Cross multiply
    537,706.32x = 806,679.48 × 163,758.16
  4. Step 4: Simplify right side
    537,706.32x = 132,100,347,354.56
  5. Step 5: Solve for x
    x = 132,100,347,354.56/537,706.32
  6. Step 6: Final answer
    x = 245,673.79

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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.