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Finding the Fourth Proportional to 465,596.68, 698,349.66 and 150,279.88

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Solution

The fourth proportional to 465,596.68, 698,349.66 and 150,279.88 is: 225,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,596.68 : 698,349.66 = 150,279.88 : x
  2. Step 2: Convert to fraction form
    465,596.68/698,349.66 = 150,279.88/x
  3. Step 3: Cross multiply
    465,596.68x = 698,349.66 × 150,279.88
  4. Step 4: Simplify right side
    465,596.68x = 104,947,903,102.84
  5. Step 5: Solve for x
    x = 104,947,903,102.84/465,596.68
  6. Step 6: Final answer
    x = 225,405.18

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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.