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Finding the Fourth Proportional to 374,804.01, 517,236.57 and 205,041.78

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Solution

The fourth proportional to 374,804.01, 517,236.57 and 205,041.78 is: 282,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,804.01 : 517,236.57 = 205,041.78 : x
  2. Step 2: Convert to fraction form
    374,804.01/517,236.57 = 205,041.78/x
  3. Step 3: Cross multiply
    374,804.01x = 517,236.57 × 205,041.78
  4. Step 4: Simplify right side
    374,804.01x = 106,055,106,993.90
  5. Step 5: Solve for x
    x = 106,055,106,993.90/374,804.01
  6. Step 6: Final answer
    x = 282,961.51

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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.