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Finding the Fourth Proportional to 648,891, 973,336.50 and 205,659

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Solution

The fourth proportional to 648,891, 973,336.50 and 205,659 is: 308,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,891 : 973,336.50 = 205,659 : x
  2. Step 2: Convert to fraction form
    648,891/973,336.50 = 205,659/x
  3. Step 3: Cross multiply
    648,891x = 973,336.50 × 205,659
  4. Step 4: Simplify right side
    648,891x = 200,175,411,253.50
  5. Step 5: Solve for x
    x = 200,175,411,253.50/648,891
  6. Step 6: Final answer
    x = 308,488.50

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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.