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Finding the Fourth Proportional to 657,723, 907,664.22 and 355,923.48

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Solution

The fourth proportional to 657,723, 907,664.22 and 355,923.48 is: 491,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,723 : 907,664.22 = 355,923.48 : x
  2. Step 2: Convert to fraction form
    657,723/907,664.22 = 355,923.48/x
  3. Step 3: Cross multiply
    657,723x = 907,664.22 × 355,923.48
  4. Step 4: Simplify right side
    657,723x = 323,059,007,853.89
  5. Step 5: Solve for x
    x = 323,059,007,853.89/657,723
  6. Step 6: Final answer
    x = 491,177.91

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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.