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Finding the Fourth Proportional to 571,824, 789,117.76 and 333,406.08

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Solution

The fourth proportional to 571,824, 789,117.76 and 333,406.08 is: 460,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,824 : 789,117.76 = 333,406.08 : x
  2. Step 2: Convert to fraction form
    571,824/789,117.76 = 333,406.08/x
  3. Step 3: Cross multiply
    571,824x = 789,117.76 × 333,406.08
  4. Step 4: Simplify right side
    571,824x = 263,096,659,019.98
  5. Step 5: Solve for x
    x = 263,096,659,019.98/571,824
  6. Step 6: Final answer
    x = 460,100.76

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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.