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Finding the Fourth Proportional to 682,617.64, 1,023,809.80 and 183,865

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Solution

The fourth proportional to 682,617.64, 1,023,809.80 and 183,865 is: 275,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,617.64 : 1,023,809.80 = 183,865 : x
  2. Step 2: Convert to fraction form
    682,617.64/1,023,809.80 = 183,865/x
  3. Step 3: Cross multiply
    682,617.64x = 1,023,809.80 × 183,865
  4. Step 4: Simplify right side
    682,617.64x = 188,242,788,877
  5. Step 5: Solve for x
    x = 188,242,788,877/682,617.64
  6. Step 6: Final answer
    x = 275,766.08

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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.