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Finding the Fourth Proportional to 465,329.30, 698,123.55 and 228,679.70

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Solution

The fourth proportional to 465,329.30, 698,123.55 and 228,679.70 is: 343,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,329.30 : 698,123.55 = 228,679.70 : x
  2. Step 2: Convert to fraction form
    465,329.30/698,123.55 = 228,679.70/x
  3. Step 3: Cross multiply
    465,329.30x = 698,123.55 × 228,679.70
  4. Step 4: Simplify right side
    465,329.30x = 159,646,683,976.94
  5. Step 5: Solve for x
    x = 159,646,683,976.94/465,329.30
  6. Step 6: Final answer
    x = 343,083.24

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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.