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Finding the Fourth Proportional to 512,706.04, 769,060.95 and 157,717.60

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Solution

The fourth proportional to 512,706.04, 769,060.95 and 157,717.60 is: 236,576.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,706.04 : 769,060.95 = 157,717.60 : x
  2. Step 2: Convert to fraction form
    512,706.04/769,060.95 = 157,717.60/x
  3. Step 3: Cross multiply
    512,706.04x = 769,060.95 × 157,717.60
  4. Step 4: Simplify right side
    512,706.04x = 121,294,447,287.72
  5. Step 5: Solve for x
    x = 121,294,447,287.72/512,706.04
  6. Step 6: Final answer
    x = 236,576.98

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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.