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Finding the Fourth Proportional to 477,134.70, 658,434.93 and 259,338.26

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Solution

The fourth proportional to 477,134.70, 658,434.93 and 259,338.26 is: 357,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,134.70 : 658,434.93 = 259,338.26 : x
  2. Step 2: Convert to fraction form
    477,134.70/658,434.93 = 259,338.26/x
  3. Step 3: Cross multiply
    477,134.70x = 658,434.93 × 259,338.26
  4. Step 4: Simplify right side
    477,134.70x = 170,757,365,777.25
  5. Step 5: Solve for x
    x = 170,757,365,777.25/477,134.70
  6. Step 6: Final answer
    x = 357,880.84

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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.