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Finding the Fourth Proportional to 465,937.70, 698,906.55 and 306,505.40

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Solution

The fourth proportional to 465,937.70, 698,906.55 and 306,505.40 is: 459,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,937.70 : 698,906.55 = 306,505.40 : x
  2. Step 2: Convert to fraction form
    465,937.70/698,906.55 = 306,505.40/x
  3. Step 3: Cross multiply
    465,937.70x = 698,906.55 × 306,505.40
  4. Step 4: Simplify right side
    465,937.70x = 214,218,631,670.37
  5. Step 5: Solve for x
    x = 214,218,631,670.37/465,937.70
  6. Step 6: Final answer
    x = 459,758.10

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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.