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Finding the Fourth Proportional to 465,792.80, 698,228.40 and 228,941.60

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Solution

The fourth proportional to 465,792.80, 698,228.40 and 228,941.60 is: 343,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,792.80 : 698,228.40 = 228,941.60 : x
  2. Step 2: Convert to fraction form
    465,792.80/698,228.40 = 228,941.60/x
  3. Step 3: Cross multiply
    465,792.80x = 698,228.40 × 228,941.60
  4. Step 4: Simplify right side
    465,792.80x = 159,853,527,061.44
  5. Step 5: Solve for x
    x = 159,853,527,061.44/465,792.80
  6. Step 6: Final answer
    x = 343,185.91

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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.