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Finding the Fourth Proportional to 374,789, 517,210.44 and 205,025.96

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Solution

The fourth proportional to 374,789, 517,210.44 and 205,025.96 is: 282,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,789 : 517,210.44 = 205,025.96 : x
  2. Step 2: Convert to fraction form
    374,789/517,210.44 = 205,025.96/x
  3. Step 3: Cross multiply
    374,789x = 517,210.44 × 205,025.96
  4. Step 4: Simplify right side
    374,789x = 106,041,566,983.02
  5. Step 5: Solve for x
    x = 106,041,566,983.02/374,789
  6. Step 6: Final answer
    x = 282,936.71

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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.