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Finding the Fourth Proportional to 374,929.38, 517,402.54 and 205,163.50

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Solution

The fourth proportional to 374,929.38, 517,402.54 and 205,163.50 is: 283,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,929.38 : 517,402.54 = 205,163.50 : x
  2. Step 2: Convert to fraction form
    374,929.38/517,402.54 = 205,163.50/x
  3. Step 3: Cross multiply
    374,929.38x = 517,402.54 × 205,163.50
  4. Step 4: Simplify right side
    374,929.38x = 106,152,116,015.29
  5. Step 5: Solve for x
    x = 106,152,116,015.29/374,929.38
  6. Step 6: Final answer
    x = 283,125.63

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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.