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Finding the Fourth Proportional to 374,226, 516,442.80 and 204,471.06

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Solution

The fourth proportional to 374,226, 516,442.80 and 204,471.06 is: 282,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,226 : 516,442.80 = 204,471.06 : x
  2. Step 2: Convert to fraction form
    374,226/516,442.80 = 204,471.06/x
  3. Step 3: Cross multiply
    374,226x = 516,442.80 × 204,471.06
  4. Step 4: Simplify right side
    374,226x = 105,597,606,745.37
  5. Step 5: Solve for x
    x = 105,597,606,745.37/374,226
  6. Step 6: Final answer
    x = 282,176.03

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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.