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Finding the Fourth Proportional to 500,252.10, 690,416.74 and 306,775.50

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Solution

The fourth proportional to 500,252.10, 690,416.74 and 306,775.50 is: 423,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,252.10 : 690,416.74 = 306,775.50 : x
  2. Step 2: Convert to fraction form
    500,252.10/690,416.74 = 306,775.50/x
  3. Step 3: Cross multiply
    500,252.10x = 690,416.74 × 306,775.50
  4. Step 4: Simplify right side
    500,252.10x = 211,802,940,621.87
  5. Step 5: Solve for x
    x = 211,802,940,621.87/500,252.10
  6. Step 6: Final answer
    x = 423,392.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.