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Finding the Fourth Proportional to 505,905.41, 698,189.27 and 288,123.28

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Solution

The fourth proportional to 505,905.41, 698,189.27 and 288,123.28 is: 397,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,905.41 : 698,189.27 = 288,123.28 : x
  2. Step 2: Convert to fraction form
    505,905.41/698,189.27 = 288,123.28/x
  3. Step 3: Cross multiply
    505,905.41x = 698,189.27 × 288,123.28
  4. Step 4: Simplify right side
    505,905.41x = 201,164,579,347.12
  5. Step 5: Solve for x
    x = 201,164,579,347.12/505,905.41
  6. Step 6: Final answer
    x = 397,632.79

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