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Finding the Fourth Proportional to 657,286.38, 907,055.21 and 355,480.38

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Solution

The fourth proportional to 657,286.38, 907,055.21 and 355,480.38 is: 490,562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,286.38 : 907,055.21 = 355,480.38 : x
  2. Step 2: Convert to fraction form
    657,286.38/907,055.21 = 355,480.38/x
  3. Step 3: Cross multiply
    657,286.38x = 907,055.21 × 355,480.38
  4. Step 4: Simplify right side
    657,286.38x = 322,440,324,419.10
  5. Step 5: Solve for x
    x = 322,440,324,419.10/657,286.38
  6. Step 6: Final answer
    x = 490,562.92

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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.