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Finding the Fourth Proportional to 438,898.50, 658,348.02 and 106,474.50

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Solution

The fourth proportional to 438,898.50, 658,348.02 and 106,474.50 is: 159,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,898.50 : 658,348.02 = 106,474.50 : x
  2. Step 2: Convert to fraction form
    438,898.50/658,348.02 = 106,474.50/x
  3. Step 3: Cross multiply
    438,898.50x = 658,348.02 × 106,474.50
  4. Step 4: Simplify right side
    438,898.50x = 70,097,276,255.49
  5. Step 5: Solve for x
    x = 70,097,276,255.49/438,898.50
  6. Step 6: Final answer
    x = 159,711.82

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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.