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Finding the Fourth Proportional to 306,605.70, 459,982.08 and 96,243.66

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Solution

The fourth proportional to 306,605.70, 459,982.08 and 96,243.66 is: 144,388.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,605.70 : 459,982.08 = 96,243.66 : x
  2. Step 2: Convert to fraction form
    306,605.70/459,982.08 = 96,243.66/x
  3. Step 3: Cross multiply
    306,605.70x = 459,982.08 × 96,243.66
  4. Step 4: Simplify right side
    306,605.70x = 44,270,358,913.61
  5. Step 5: Solve for x
    x = 44,270,358,913.61/306,605.70
  6. Step 6: Final answer
    x = 144,388.57

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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.