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Finding the Fourth Proportional to 924,813, 1,387,219.50 and 259,965

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Solution

The fourth proportional to 924,813, 1,387,219.50 and 259,965 is: 389,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,813 : 1,387,219.50 = 259,965 : x
  2. Step 2: Convert to fraction form
    924,813/1,387,219.50 = 259,965/x
  3. Step 3: Cross multiply
    924,813x = 1,387,219.50 × 259,965
  4. Step 4: Simplify right side
    924,813x = 360,628,517,317.50
  5. Step 5: Solve for x
    x = 360,628,517,317.50/924,813
  6. Step 6: Final answer
    x = 389,947.50

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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.