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Finding the Fourth Proportional to 657,767.38, 907,721.89 and 355,961.46

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Solution

The fourth proportional to 657,767.38, 907,721.89 and 355,961.46 is: 491,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,767.38 : 907,721.89 = 355,961.46 : x
  2. Step 2: Convert to fraction form
    657,767.38/907,721.89 = 355,961.46/x
  3. Step 3: Cross multiply
    657,767.38x = 907,721.89 × 355,961.46
  4. Step 4: Simplify right side
    657,767.38x = 323,114,009,238.36
  5. Step 5: Solve for x
    x = 323,114,009,238.36/657,767.38
  6. Step 6: Final answer
    x = 491,228.39

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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.