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Finding the Fourth Proportional to 465,329.70, 698,116.05 and 149,794.20

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Solution

The fourth proportional to 465,329.70, 698,116.05 and 149,794.20 is: 224,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,329.70 : 698,116.05 = 149,794.20 : x
  2. Step 2: Convert to fraction form
    465,329.70/698,116.05 = 149,794.20/x
  3. Step 3: Cross multiply
    465,329.70x = 698,116.05 × 149,794.20
  4. Step 4: Simplify right side
    465,329.70x = 104,573,735,216.91
  5. Step 5: Solve for x
    x = 104,573,735,216.91/465,329.70
  6. Step 6: Final answer
    x = 224,730.41

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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.