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Finding the Fourth Proportional to 464,341.89, 696,512.99 and 306,533.44

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Solution

The fourth proportional to 464,341.89, 696,512.99 and 306,533.44 is: 459,800.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,341.89 : 696,512.99 = 306,533.44 : x
  2. Step 2: Convert to fraction form
    464,341.89/696,512.99 = 306,533.44/x
  3. Step 3: Cross multiply
    464,341.89x = 696,512.99 × 306,533.44
  4. Step 4: Simplify right side
    464,341.89x = 213,504,517,814.15
  5. Step 5: Solve for x
    x = 213,504,517,814.15/464,341.89
  6. Step 6: Final answer
    x = 459,800.25

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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.