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Finding the Fourth Proportional to 374,924.82, 517,394.84 and 202,842.25

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Solution

The fourth proportional to 374,924.82, 517,394.84 and 202,842.25 is: 279,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,924.82 : 517,394.84 = 202,842.25 : x
  2. Step 2: Convert to fraction form
    374,924.82/517,394.84 = 202,842.25/x
  3. Step 3: Cross multiply
    374,924.82x = 517,394.84 × 202,842.25
  4. Step 4: Simplify right side
    374,924.82x = 104,949,533,483.99
  5. Step 5: Solve for x
    x = 104,949,533,483.99/374,924.82
  6. Step 6: Final answer
    x = 279,921.54

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Why These Related Problems?

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