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Finding the Fourth Proportional to 464,224.69, 696,337.05 and 306,416.23

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Solution

The fourth proportional to 464,224.69, 696,337.05 and 306,416.23 is: 459,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,224.69 : 696,337.05 = 306,416.23 : x
  2. Step 2: Convert to fraction form
    464,224.69/696,337.05 = 306,416.23/x
  3. Step 3: Cross multiply
    464,224.69x = 696,337.05 × 306,416.23
  4. Step 4: Simplify right side
    464,224.69x = 213,368,976,995.44
  5. Step 5: Solve for x
    x = 213,368,976,995.44/464,224.69
  6. Step 6: Final answer
    x = 459,624.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.