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Finding the Fourth Proportional to 462,949.29, 638,865.30 and 256,218.08

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Solution

The fourth proportional to 462,949.29, 638,865.30 and 256,218.08 is: 353,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,949.29 : 638,865.30 = 256,218.08 : x
  2. Step 2: Convert to fraction form
    462,949.29/638,865.30 = 256,218.08/x
  3. Step 3: Cross multiply
    462,949.29x = 638,865.30 × 256,218.08
  4. Step 4: Simplify right side
    462,949.29x = 163,688,837,350.30
  5. Step 5: Solve for x
    x = 163,688,837,350.30/462,949.29
  6. Step 6: Final answer
    x = 353,578.33

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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.