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Finding the Fourth Proportional to 465,812.64, 698,744.88 and 133,380

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Solution

The fourth proportional to 465,812.64, 698,744.88 and 133,380 is: 200,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,812.64 : 698,744.88 = 133,380 : x
  2. Step 2: Convert to fraction form
    465,812.64/698,744.88 = 133,380/x
  3. Step 3: Cross multiply
    465,812.64x = 698,744.88 × 133,380
  4. Step 4: Simplify right side
    465,812.64x = 93,198,592,094.40
  5. Step 5: Solve for x
    x = 93,198,592,094.40/465,812.64
  6. Step 6: Final answer
    x = 200,077.42

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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.